Coming from a 10 month old iPhone 13 (regular, not Pro), I've noticed this as well. Significant differences in standby drain. Same carrier on both, same settings (restored from the latest backup of the 13). I've actually had two 15p's since release, and both behaved the same.
I'm leaning towards the processor or radio/antenna (or both...). After almost two weeks of use on both (i.e. plenty of time to "index") I'm averaging 1-2 hours less on the 15 Pro than my 13, and worse on days when I'm using the phone more (especially navigation) - and haven't changed my day to day behavior at all.
There are things I like about the 15p over the 13, but for me, this is enough to be done with it and maybe see if some updates will help it out and maybe try it again in a few months. Somehow my 13 still has 100% battery health after 10 months, anyway. I don't really want to pay that much for a phone that will cause me to have to be more concerned about charging it. 🤷♂️
Edit: Also, I don't use AOD at all, I have it turned off.