Comment by avidiax

Sounds like some meta-feedback that should be delivered to her. Of course, this kind of person has lots of ways to deflect, so they have to actually genuinely believe in open feedback as a value, and be willing to understand how they are falling short of living up to that value.

In the worst case, they only want to present as open to feedback, while they are using that feedback to build the list of detractors who will be laid off, not promoted, etc. And this kind of personal feedback can really trigger this sort of person.