I don't know how you've setup your phone but I'm a user for nearly 2 weeks now and didn't encounter such issues (since I've exited Apple ecosystem).
Regarding the keyboard app, I just switched to Gboard as a matter of personal preference and it does the job — you can choose whatever makes you happy here, no one is forcing you to use the default keyboard.
The screenshots issue I never had a problem with, they just work on my Pixel 10 Pro build no. 2026070501 without any hiccups; same for the back gesture. I don't have many apps, just the usual ones for chat, banking and the stores to enable installing some of the stuff there.
Using multiple secondary profiles to isolate what I'm doing: banking, chatting etc. (work perfectly fine, no glitches; switching profiles is also responsive).