Commit graph is just a data structure. Sometimes it represents a "history", sometimes other things.
Personally, I like it when project's repository represents the history of the project rather than the history of random things developers do on their machines, but you do you.
Remotes aren't equal either. Sometimes the remote is my other machine, sometimes it's a fork on a forge used for producing CI artifacts.
It's a good rule of thumb to consider shared branches to be append-only, but not every remote branch is "shared" and, as with any proper rule of thumb, you can always find exceptions.
Personally, I like it when project's repository represents the history of the project rather than the history of random things developers do on their machines, but you do you.