I've been struggling with the overheating issue and have tried everything listed on every page I could find. Nothing worked until today. I've noticed that the file structure has changed significantly with Big Sur (well, insiders knew this all along) and that after re-structuring my data the overheating problem went away.
I used to have all folders directly under my hard_drive. This is no longer desirable according to the new OS structure and the system expects all files to be in the documents folder under the users, that is /hard_drive/users/myloginname/documents/folder instead of /hard_drive/folder. This apparently caused to issues:
1) Sherlock constantly tried to update but couldn't quite come to an end because of permission issues. This also led to the fact that files that were there wouldn't no longer appear in a Sherlock search.
2) Word would always get messed up with permissions, wanting me to grant access to a file. Also, Word no longer was able to properly open files from the "recent" list.
After moving my folders to the appropriate location, all these issues, including the overheating disappeared. Running one day now with a cool mac and much less battery drain. Hope it stays this way.