An update to my previous post:
I had the same problem with a new 16-inch MBP. As near as I can tell, now two months later, the issue seems to be related to the items in iCloud syncing with my new MBP. (In my case, these items were mostly photos - to be more specific, Apple-related photos, photos used in the Photos app.)
I'm not sure, but there might be different processes at work between syncing the photos from iCloud to the new computer, and processing those photos (things like facial recognition and perhaps location).
It seemed that syncing the photos happened when the Photos app was running on the new computer. What seemed to work for me was to start the Photos app, set the computer to NOT go to sleep, leave the computer powered on, and let it run overnight (or over multiple nights) to get the photos. (“Getting the photos” will mean different things to different people, depending on your iCloud settings.)
After the photos have finished syncing, then quit the Photos app, leave the computer powered on and set to NOT go to sleep, and let it run overnight (or over multiple nights) to process the photos.
My experience was that it took multiple days (including days to figure this out and try it) for the process to complete itself. (In my case, it was processing about 18K photos.)
Now, I can close the lid on the new MBP without it being plugged in, and the battery has little or no drain the next day.
I'm not sure what’s going on for the folks who can’t (or never have been able to) close the lid on their MBPs without significant battery drain. I’m in the group that has had little to no battery drain for years with other MBPs. I’m glad it works just fine now with this new 16-inch MBP.
Note: There is some speculation on my part about what I think is going on and how someone might try to solve it. I’m only an ‘n’ of one, but this is what I think I did to solve the problem. If I’m wrong, I’m sorry.