I mean incompetent people also feel like imposters.

Well, not all. Does the share of people that feel like imposters increase or decrease with expertise? I have anecdotal evidence pointing both ways, and no good real study to get data from.

Anyway, imposter syndrome hurting competent people is way too common to ignore. You are just combating the reciprocate hypothesis, what is ok as long as it doesn't also harm the original one.