Your screenshot is correct. The media keys I am referring to are on F10, F11 and F12.
Looks the issue solved itself? It is working now? Weird.
localectl
System Locale: LANG=en_US.UTF-8
VC Keymap: n/a
X11 Layout: us
X11 Model: pc104
gsettings list-recursively | grep media-keys
org.gnome.settings-daemon.plugins.media-keys custom-keybindings ['/org/gnome/settings-daemon/plugins/media-keys/custom-keybindings/custom0/', '/org/gnome/settings-daemon/plugins/media-keys/custom-keybindings/custom1/', '/org/gnome/settings-daemon/plugins/media-keys/custom-keybindings/custom2/']
org.gnome.settings-daemon.plugins.media-keys media ['']
org.gnome.settings-daemon.plugins.media-keys stop-static ['XF86AudioStop']
org.gnome.settings-daemon.plugins.media-keys eject-static ['XF86Eject']
org.gnome.settings-daemon.plugins.media-keys rotate-video-lock ['']
org.gnome.settings-daemon.plugins.media-keys screen-brightness-cycle ['']
org.gnome.settings-daemon.plugins.media-keys toggle-contrast ['']
org.gnome.settings-daemon.plugins.media-keys rotate-video-lock-static ['<Super>o']
org.gnome.settings-daemon.plugins.media-keys www ['']
org.gnome.settings-daemon.plugins.media-keys window-screenshot-clip ['<Ctrl><Alt>Print']
org.gnome.settings-daemon.plugins.media-keys battery-status-static ['XF86Battery']
org.gnome.settings-daemon.plugins.media-keys volume-down ['']
org.gnome.settings-daemon.plugins.media-keys playback-repeat ['']
org.gnome.settings-daemon.plugins.media-keys hibernate ['']
org.gnome.settings-daemon.plugins.media-keys volume-down-precise ['']
org.gnome.settings-daemon.plugins.media-keys next ['']
org.gnome.settings-daemon.plugins.media-keys suspend ['']
org.gnome.settings-daemon.plugins.media-keys touchpad-toggle-static ['XF86TouchpadToggle', '<Ctrl><Super>XF86TouchpadToggle']
org.gnome.settings-daemon.plugins.media-keys volume-up-quiet ['']
org.gnome.settings-daemon.plugins.media-keys screen-brightness-up-static ['XF86MonBrightnessUp']
org.gnome.settings-daemon.plugins.media-keys play-static ['XF86AudioPlay', '<Ctrl>XF86AudioPlay']
org.gnome.settings-daemon.plugins.media-keys search-static ['XF86Search']
org.gnome.settings-daemon.plugins.media-keys magnifier-zoom-in ['<Alt><Super>equal']
org.gnome.settings-daemon.plugins.media-keys area-screenshot-clip ['<Ctrl><Shift>Print']
org.gnome.settings-daemon.plugins.media-keys mic-mute ['']
org.gnome.settings-daemon.plugins.media-keys stop ['']
org.gnome.settings-daemon.plugins.media-keys previous ['']
org.gnome.settings-daemon.plugins.media-keys volume-up ['']
org.gnome.settings-daemon.plugins.media-keys control-center ['']
org.gnome.settings-daemon.plugins.media-keys search ['']
org.gnome.settings-daemon.plugins.media-keys calculator ['']
org.gnome.settings-daemon.plugins.media-keys rfkill-static ['XF86WLAN', 'XF86UWB', 'XF86RFKill']
org.gnome.settings-daemon.plugins.media-keys pause-static ['XF86AudioPause']
org.gnome.settings-daemon.plugins.media-keys volume-mute-static ['XF86AudioMute']
org.gnome.settings-daemon.plugins.media-keys volume-up-static ['XF86AudioRaiseVolume', '<Ctrl>XF86AudioRaiseVolume']
org.gnome.settings-daemon.plugins.media-keys calculator-static ['XF86Calculator']
org.gnome.settings-daemon.plugins.media-keys home-static ['XF86Explorer']
org.gnome.settings-daemon.plugins.media-keys touchpad-on ['']
org.gnome.settings-daemon.plugins.media-keys www-static ['XF86WWW']
org.gnome.settings-daemon.plugins.media-keys volume-mute-quiet-static ['<Alt>XF86AudioMute']
org.gnome.settings-daemon.plugins.media-keys magnifier-zoom-out ['<Alt><Super>minus']
org.gnome.settings-daemon.plugins.media-keys volume-down-quiet-static ['<Alt>XF86AudioLowerVolume', '<Alt><Ctrl>XF86AudioLowerVolume']
org.gnome.settings-daemon.plugins.media-keys window-screenshot ['<Alt>Print']
org.gnome.settings-daemon.plugins.media-keys power ['']
org.gnome.settings-daemon.plugins.media-keys play ['']
org.gnome.settings-daemon.plugins.media-keys max-screencast-length uint32 30
org.gnome.settings-daemon.plugins.media-keys power-static ['XF86PowerOff']
org.gnome.settings-daemon.plugins.media-keys volume-down-static ['XF86AudioLowerVolume', '<Ctrl>XF86AudioLowerVolume']
org.gnome.settings-daemon.plugins.media-keys keyboard-brightness-up ['']
org.gnome.settings-daemon.plugins.media-keys playback-forward ['']
org.gnome.settings-daemon.plugins.media-keys playback-random-static ['XF86AudioRandomPlay']
org.gnome.settings-daemon.plugins.media-keys pause ['']
org.gnome.settings-daemon.plugins.media-keys screen-brightness-cycle-static ['XF86MonBrightnessCycle']
org.gnome.settings-daemon.plugins.media-keys media-static ['XF86AudioMedia']
org.gnome.settings-daemon.plugins.media-keys hibernate-static ['XF86Suspend', 'XF86Hibernate']
org.gnome.settings-daemon.plugins.media-keys screenshot-clip ['<Ctrl>Print']
org.gnome.settings-daemon.plugins.media-keys eject ['']
org.gnome.settings-daemon.plugins.media-keys email-static ['XF86Mail']
org.gnome.settings-daemon.plugins.media-keys screen-brightness-up ['']
org.gnome.settings-daemon.plugins.media-keys rfkill-bluetooth ['']
org.gnome.settings-daemon.plugins.media-keys touchpad-toggle ['']
org.gnome.settings-daemon.plugins.media-keys keyboard-brightness-toggle ['']
org.gnome.settings-daemon.plugins.media-keys logout ['<Control><Alt>Delete']
org.gnome.settings-daemon.plugins.media-keys help ['', '<Super>F1']
org.gnome.settings-daemon.plugins.media-keys playback-random ['']
org.gnome.settings-daemon.plugins.media-keys area-screenshot ['<Shift>Print']
org.gnome.settings-daemon.plugins.media-keys decrease-text-size ['']
org.gnome.settings-daemon.plugins.media-keys volume-up-quiet-static ['<Alt>XF86AudioRaiseVolume', '<Alt><Ctrl>XF86AudioRaiseVolume']
org.gnome.settings-daemon.plugins.media-keys screencast ['<Ctrl><Shift><Alt>R']
org.gnome.settings-daemon.plugins.media-keys screensaver-static ['XF86ScreenSaver']
org.gnome.settings-daemon.plugins.media-keys email ['']
org.gnome.settings-daemon.plugins.media-keys volume-down-quiet ['']
org.gnome.settings-daemon.plugins.media-keys screen-brightness-down-static ['XF86MonBrightnessDown']
org.gnome.settings-daemon.plugins.media-keys increase-text-size ['']
org.gnome.settings-daemon.plugins.media-keys touchpad-off-static ['XF86TouchpadOff']
org.gnome.settings-daemon.plugins.media-keys home ['<Super>e']
org.gnome.settings-daemon.plugins.media-keys playback-rewind-static ['XF86AudioRewind']
org.gnome.settings-daemon.plugins.media-keys screenreader ['<Alt><Super>s']
org.gnome.settings-daemon.plugins.media-keys playback-repeat-static ['XF86AudioRepeat']
org.gnome.settings-daemon.plugins.media-keys magnifier ['<Alt><Super>8']
org.gnome.settings-daemon.plugins.media-keys volume-up-precise ['']
org.gnome.settings-daemon.plugins.media-keys playback-rewind ['']
org.gnome.settings-daemon.plugins.media-keys suspend-static ['XF86Sleep']
org.gnome.settings-daemon.plugins.media-keys volume-mute ['']
org.gnome.settings-daemon.plugins.media-keys keyboard-brightness-toggle-static ['XF86KbdLightOnOff']
org.gnome.settings-daemon.plugins.media-keys mic-mute-static ['XF86AudioMicMute']
org.gnome.settings-daemon.plugins.media-keys volume-up-precise-static ['<Shift>XF86AudioRaiseVolume', '<Ctrl><Shift>XF86AudioRaiseVolume']
org.gnome.settings-daemon.plugins.media-keys keyboard-brightness-up-static ['XF86KbdBrightnessUp']
org.gnome.settings-daemon.plugins.media-keys screen-brightness-down ['']
org.gnome.settings-daemon.plugins.media-keys rfkill ['']
org.gnome.settings-daemon.plugins.media-keys playback-forward-static ['XF86AudioForward']
org.gnome.settings-daemon.plugins.media-keys rfkill-bluetooth-static ['XF86Bluetooth']
org.gnome.settings-daemon.plugins.media-keys keyboard-brightness-down ['']
org.gnome.settings-daemon.plugins.media-keys screensaver ['<Super>l']
org.gnome.settings-daemon.plugins.media-keys on-screen-keyboard ['']
org.gnome.settings-daemon.plugins.media-keys control-center-static ['XF86Tools']
org.gnome.settings-daemon.plugins.media-keys volume-mute-quiet ['']
org.gnome.settings-daemon.plugins.media-keys touchpad-off ['']
org.gnome.settings-daemon.plugins.media-keys screenshot ['Print']
org.gnome.settings-daemon.plugins.media-keys battery-status ['']
org.gnome.settings-daemon.plugins.media-keys touchpad-on-static ['XF86TouchpadOn']
org.gnome.settings-daemon.plugins.media-keys next-static ['XF86AudioNext', '<Ctrl>XF86AudioNext']
org.gnome.settings-daemon.plugins.media-keys previous-static ['XF86AudioPrev', '<Ctrl>XF86AudioPrev']
org.gnome.settings-daemon.plugins.media-keys keyboard-brightness-down-static ['XF86KbdBrightnessDown']
org.gnome.settings-daemon.plugins.media-keys volume-down-precise-static ['<Shift>XF86AudioLowerVolume', '<Ctrl><Shift>XF86AudioLowerVolume']
xmodmap
xmodmap: up to 4 keys per modifier, (keycodes in parentheses):
shift Shift_L (0x32), Shift_R (0x3e)
lock Caps_Lock (0x42)
control Control_L (0x25), Control_R (0x69)
mod1 Alt_L (0x40), Alt_R (0x6c), Meta_L (0xcd)
mod2 Num_Lock (0x4d)
mod3
mod4 Super_L (0x85), Super_R (0x86), Super_L (0xce), Hyper_L (0xcf)
mod5 ISO_Level3_Shift (0x5c), Mode_switch (0xcb)