Recognition and trust have never been a problem for me. Have you hired at this level before, or merely assuming? As always there is nuance, as other commenters have touched on.
I have hired and been hired at this level and I have tried both approaches, one is IME far superior to the other. Any role which requires self-confidence is one where I would screen for candidates that are comfortable with claiming achievement.
Then you will not get recognition about what you did in the eyes of others. It is hard to trust someone who hides behind a group, because it looks like you have no confidence in yourself or what you did.