I just realized, one of the things that people might start doing is making a gamma model of their personality. I won't even approach who they were as a person, but it will give their Descendants (or bored researchers) a 60% approximation of who they were and their views. (60% is pulled from nowhere to justify my gamma designation, since there isn't a good scale for personality mirror quality for LLMs as far as I'm aware.)

"Dixie can't meaningfully grow as a person. All that he ever will be is burned onto that cart;"

"Do me a favor, boy. This scam of yours, when it's over, you erase this god-damned thing."