Nobody is saying that women are inadequately equipped for those roles, they are observing that women don't choose those roles, even when barriers are removed. It's not a coincidence that everyone is clamoring to bring equity into the C suite and boost women enrolling in STEM programs, but nobody is trying to bring equity to mining jobs, janitorial services, garbage collectors, etc.
The Nazi party was outlawed following the war. The Nazi ideology was not stamped out. The reason why the Nazi party didn't fight a guerilla war to maintain power was because they didn't have to. Prominent Nazis with valuable skills were pardoned and welcomed into mainstream life (e.g. Werner von Braun became one of the lead rocket scientists for NASA). I don't believe they even had to recant their ideology or party affiliation.
One need only watch a few far right rallies before a swastika flag or three will show up and announce that Nazism is still alive and well 80 years later.