Daffy_ie I've looked in the Setting under monitor and turned off dimming
I haven't used Budgie in a context that involved a KVM switch, and they're not all the same, but there are a couple more places where you can look. In the System Settings, in the Displays section, I always turn these off, to keep my screen from blanking if I briefly stop my activity.
And in the Power settings section, check these out.
These are all settings that are related to your situation. Whether they're actually a solution remains to be seen.
Best of luck with it.