I posted below but I'm glad to hear I'm not alone.
forums.macrumors.com
It's really really driving me nuts, and my finger has occasionally been 1-3mm away from the screen.
It'll be incredibly hard, but I'm going to try and film the issue occurring somehow.
Keep us posted!
The diagnostics all came back fine for me but they still replaced the screen the first time I went about it (which is partially why I'm not convinced it's just the digitiser), and the 2nd time (at a different Apple Store) the "Genius" was an arrogant elitist fool who thought I was imagining it.
I've never had this issue with previous iPhones so I'm left baffled.

Ghost touches when using my new 13 mini. Could static be the issue?
https://forums.macrumors.com/threads/does-screen-register-a-touch-without-actually-touching-it.2315376/?post=30538477#post-30538477
It's really really driving me nuts, and my finger has occasionally been 1-3mm away from the screen.
It'll be incredibly hard, but I'm going to try and film the issue occurring somehow.
I’m glad it’s not just me having this issue, thought I was just being paranoid. My iPhone 13 Pro registers a touch sometimes when my finger is just above the screen so if I’m scrolling through messages for example, as the scrolling stops it will sometimes take me into the message under my thumb. It doesn’t happen all the time but it’s enough to be annoying. Got an appointment at the Genius Bar on Saturday so fingers crossed. Not that they will have stock to exchange on the day!
Keep us posted!
The diagnostics all came back fine for me but they still replaced the screen the first time I went about it (which is partially why I'm not convinced it's just the digitiser), and the 2nd time (at a different Apple Store) the "Genius" was an arrogant elitist fool who thought I was imagining it.
I've never had this issue with previous iPhones so I'm left baffled.
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