The same way linguists are already using audio recordings to preserve dying languages that belong to people who have never had access to audio recordings. You can make a record of a culture in a medium that they didn't/don't have themselves.
I think a better question might be what, specifically, does AI bring to the table that justifies its inherent inaccuracy? Why not just use audio recordings, etc?
Used judiciously as a model, there's no problem. They only become a problem when people try to treat them as a database.