You're not going to want an edge adherence tempered glass protector for a curved screen phone. Avoid anything that doesn't come with a liquid vial of glue or require a UV light to apply. Edge glued glass will all have the issue you described and will lift up way sooner.
And for the generic ones I listed at the bottom, I recommend getting your own UV light if you don't have one already.
This is the one I am using. Great so far! It's a little process to put it on, but not difficult. Just YouTube how to do it.
https://www.amazon.com/gp/aw/d/B09QFT1CVN?psc=1&ref=ppx_pop_mob_b_asin_title
The only real good ones for the S22 Ultra are the LOCA glue based ones.
The Whitestone Dome Glass and Amfilm
These type don't have the circle cutout for the fingerprint scanner, but are a massive pain in the ass to install.
Whitestone Dome Glass is the best. As long as you watch the installation video, you gonna be fine. It's so smooth you won't ever go back to TPU.
I've had decent luck with this one: https://www.amazon.com/Whitestone-Protector-Samsung-Tempered-Dispersion/dp/B09QFT1CVN. I agree that the hole cutouts for the fingerprint sensors really seem odd. Just remember to re-register your fingerprints after adding the protector.
I'm not familiar with that brand but I purchased the AmFilm screen protector. This product and Whitestone Dome appear to be fan favorites.
I use this the Whitestone Dome glass screen protector....it's amazing. And if you need to take it off, it just comes right off, no adhesive on the phone. Installing it was more involved than what I've used before, but it all went smoothly with a perfect installation.
These are what I went with
[Dome Camera EZ] Galaxy S22 Ultra Camera Protector by Whitestone [One Touch EZ Installation] - Two Pack https://www.amazon.com/dp/B09QLR1MZ7/ref=cm_sw_r_apan_glt_i_7BMEK9ZXNWDWYTBEJJT0?_encoding=UTF8&psc=1
[2PACK] Whitestone Dome Glass Screen Protector for Samsung Galaxy S22 Ultra, Full Tempered Glass Shield with Liquid Dispersion Tech [Easy to Install Kit] Smart Phone Screen Guard - Two Pack https://www.amazon.com/dp/B09QFT1CVN/ref=cm_sw_r_apan_glt_i_XF92JCND03NQN87REZCF?_encoding=UTF8&psc=1