Recording and correcting tilt off-gravity alignment

I want my pics to generally have any vertical line in the center of the frame be aligned vertical. What I've been doing is manually rotating and cropping, but I've got too much backlog to catch up on. At the same time, I'm sold on the concept of mirrorless now, and it seems like a mirrorless cam should be able to rotate and crop live in the viewfinder and when saving the photo.Failing that, I'd want the tilt recorded in metadata so I can automate the rotate/crop on the computer. Does the RP or other R's record tilt?

Ideally, I'd like to see a maximal crop rotated in the viewfinder.

I'm told the 5D's record tilt, so fallback is to get a beater to take a bunch of reference pics to train neural nets to detect the angle.

Alignment makes random pics work together more-predictably.