So you're right about the CV assumption. But if you grow as an EM and beyond, it helps growing your network faster, and resume stop being as relevant. To be fair, it does help I am in an area (AI/ML) where even as a manager, you're assumed to have a certain technical level, fairly or not.
I don't know about that. Once you are at "non-technical" position, people assume you are non-technical when looking at CV and such. We had technical position open and this was super visible in one applicant. It might have played role that she was woman, but I think it would just milder with guy - but still present.