monsieurzik Hi, what DE are you using?
I am on a HP EliteBook 6930p with Solus Gnome. I have a similar issue. I don´t use the touchpad that often, because I have a mouse connected to the laptop. Though every know and then I use the laptop without mouse, and I would say every time I do so, edge scrolling is turned off and I have to go to the settings to activate it, though I would never turn it off myself. Have never figured out why that is.
So you just open the settings? That I cannot reproduce. After I have opened gnome settings, edge scrolling is still working, if I have enabled it before.