Also, when using the Self Analysis function in the mobile app, I would like to be able to add notations through a pop-up where you can add notations by long-tapping a specific move.
Suggestions related to mobile apps

Yes , the fact that one cannot save analysis on the mobile app (e.g., self-analysis in daily games), is really a huge drawback.
On the web you can save analysis with variants and comments for the moves, but arrows or square highlighting are not saved: That's also a big drawback, and it would be ridiculously simple to implement. (Arrows and such are just a kind of special comment in the PNG. Anyways, one can draw arrows in different positions, and find them when coming back to that position, but they are lost when you "Save" and reload the the analysis.)
In the web version of chess.com/analysis, after I retry a mistake through a game review in the Review tab, when I go to the Analysis tab, a record of the retry mistake is automatically kept, and I save it by saving the analysis.
However, in the mobile app, I cannot save the game review history using the method mentioned above after reviewing the game. Therefore, I hope that mobile devices will also have an analysis save function, and that the records of retries from game reviews will remain even after they are automatically transferred to the self analysis function.
*Because my English skills are a bit poor, this text was translated from Korean to English through machine translation.