If you click game review (even if you don't intend to use the game review feature) then there is the self analysis option. So yeah there's not a direct way to do self analysis with an engine after the game, you must first click game review which is a bit inconvenient. Alternatively, you can go to your recent games and click on the analysis there and you can analyze as you would a regular live game
I haven't played against bots much, but decided to do a few games. After my games I like to step through with self analysis and see where I made errors. But there is no way to use self analysis on the games: no magnifying glass button or popup.
What gives? Are we just not allowed to analyze games vs bots, only human opponents?