I can't speak to the sabreint switch, but I have one of the more common USB-c switchers with the studio display, and have an Apple Magic Keyboard, Apple Magic Trackpad and a MX-518 mouse plugged into my studio display, through a hub coming off of it. They all switch with the display.Just purchased a Sabrent TB4 KVM to switch between my Personal Mac Studio and my Work MacBook Pro. I have a keyboard and mouse plugged into my Studio display via USB and I'm curious if this will switch the keyboard and mouse between the two.
I will amend that in that I have noticed it lags a little bit ever since I installed Sonoma, but I always can get it them all to switch when I unplug the keyboard (at the keyboard) and plug it back in. This is a very rare scenario, seems to be a bug that will be resolved?