I have the same issue, both on my A12X iPad Pro 12.9" and M1 iPad Pro 12.9". The former loses around 6 to 10% in about 8 hours with Home getting three to four hours of background activity and the latter around 4% with about 1.5 hours of background activity.
The iPads are not used as home hubs. I have five HomePod mini's, two HomePods and an Apple TV which can all act as a home hub. I have one Logitech Circle camera with HKSV.
Did a complete DFU restore of iOS 15.1 on both and started from scratch (did not import any backups). Did not solve the issue.
When I put the iPads in flight mode the issue disappears. The battery will still be at 100% the next morning.
I usually charge my iPhone 13 Pro Max during the night - so I am not sure if it has the same issue, but Home does get quite a bit of background activity - around an hour per night. Battery life during the day (light use) seems less than stellar...
The issue started a few months ago, not quite sure when. I was so used to not ever having any battery drain on any iOS devices that I wasn't paying attention to it
I was running the iOS 15 betas from the start, but I think it started happening later.