It looks my issues have been fixed with 16.1iPhone 13 Pro, on 16.0.3
I have tape to wake delay, as well as scroll/tap delay after using spotlight or exiting an app (I either have to scroll/tap twice, or wait 2-3 seconds)
I have an appointment at the Genius Bar this upcoming Wednesday because I dropped my phone last week so I thought it was a display issue
Might just be a software issue after all lol