I was exploring the sqlite database and I cannot find any traces of the warnings/errors stored for the problematic assets. In my opinion, you should store it and moreover show them in UI if needed
For now, you need to use
photostructure logcat | less, and search for your filename.
Making this more user friendly is a great idea. I was hesitant to do this because it would potentially dramatically increase the size of the database, but I just realized it could just be held in a separate SQLite file.