Didn’t think they would, but ya never know. Sorry I don’t have any experience with hybrid graphics, so probably not gonna be much help.
Completely agree with you, although the fonts on my 1080 can look pretty bad when scaled, at least next to the 4k. I forget I’ve got AMD now, might be better (or worse), probably won’t help with windows appearing on the wrong panel though. 
Good luck, I hope you find a solution soon. 