I don't know how anyone would get to a therapist - mere mortal that they be - being omnipotent.
I really do think most are impervious and do not care - but if one of them does not be impervious- I still, for myself, expect them to conduct themselves as such regardless of whatever is going in for them. It would not shatter an illusion if one of them told me they are not impervious (and I have had two explicitly say they are not) - I think they are being manipulative and lying and in the off chance they are not - it still does not matter to me what happens to the therapist.
I don't pay them to have them tell me or show me about themselves.