ViGEmBus (I think I'll install autohotkey just so I don't have to type that all the time) says it supports the "extended" PS4 controller report which has the touchpad and motion controls data and QMP 4.02+ should be sending it. Be sure to turn on Boot in PS4 USB mode and use the most recent Quadstick firmware.
I don't know of a good way to test it without buying a game that uses it. I wish they had a controller testing app for the PS4/PS5.
From what I read in the Beloader forum, the BeSavior does not have the electronic hardware to override the DualSense controller's touchpad. They can press the button, but any swiping still has to be done on the actual BeSavior touchpad. That sucks for us since we were hoping the BeSavior would be the 100% solution to the PS5.