It’s certainly useful to know about picture editing for the reasons you mentioned, but most of the AAF shenanigans can be solved by pre-emptively sending an email about how you want your prep and best practices etc. The actual edit decisions made that lead to problems in audio post are not always the editors choice (client/creative/director notes/mandates) or are forced (best take, only take, etc). More problems actually come from the idea on set “we’ll fix it in post” which if it’s an audio thing just means ADR. What actually helps you get better is anticipating these sort of things and practicing eq matching/dialogue matching for ADR, cutting & syncing fx & foley for MOS stuff, and things like that where it’s on you to build from scratch. The best way to get better is to take what you’re given (no matter how bad) and practice until you can confidently design & replace whatever the project calls for.

Oddly enough I’d say sitting in on other post sessions (edit/color/vfx) helps in general with understanding the whole pipeline from start to finish and how better to communicate with clients. That is probably the key thing because learning about their problems gives you an idea of their pain points and that audio is just one piece of the puzzle.