I have fed LLMs PDF files, asked about the content and gotten nonsense. I would be very hesitant to trust them to give me an accurate summary of my emails.
The smarter move is to figure out how to fix it for the company while getting visibility for it.
No matter how many times I bail out my managers it seems that my career has never really benefit from it
I've only ever received significant bumps to salary or job title by changing jobs
E.g. "the way that team builds software isn't robust enough, you should replace the leader or we'll have an incident", how can you be blamed for the incident when it happens?
Of course, often it's quite hard to hold management accountable either.