I don't think this is obvious at all. We don't make the keystroke logs part of the commit history. We don't make the menu item selections part of the commit history. We don't make the 20 iterations you do while trying to debug an issue part of the commit history (well, maybe some people do but most people I know re-write the same file multiple times before committing, or rebase/squash intermediate commits into more useful logical commits. We don't make the search history part of the commit history. We don't make the discussion that two devs have about the project part of the commit history either.
Some of these things might be useful to preserve some of the time either in the commit history or along side it. For example, having some documentation for the intent behind a given series of commits and any assumptions made can be quite valuable in the future, but every single discussion between any two devs on a project as part of the commit history would be so much noise for very little gain. AI prompts and sessions seem to me to fall into that same bucket.