Well, I mean, if you've made the unfortunate decision to hold a Mutex across await points...?
This is completely banned in all of my projects. I have a 100k+ LOC project running in production, that is heavily async and with pervasive usage of threads and mutexes, and I never had a problem, precisely because I never hold a mutex across an await point. Hell, I don't even use async mutexes - I just use normal synchronous parking lot mutexes (since I find the async ones somewhat pointless). I just never hold them across await points.
As I said in the article, we avoid Tokio mutexes entirely for the exact reason that being cancelled in the middle of a critical section is bad. In Rust, there are two sources of cancellations in the middle of a critical section: async cancellations and panics. Ergo, panicking in the middle of a critical section is also bad, and mutexes ought to detect that and mark their internal state as corrupted as a result.