There definitely are many problems and things that could be improved, however, the point is that even if all of those problems would be fixed, there would be a gender disparity in choice of occupations.

The GP statement "If there is no gender parity, there is a problem" is strictly false, even in an ideal world managed by fairies where all these problems are totally fixed, we would not observe gender parity - it would for most professions be much closer to 50/50 than nowadays, that's true, but it would not be at 50/50.