And of course they do! It's like saying a team comprised of footballers from the top division will beat a team comprised of footballers from the top two divisions.
The few women who go into tech or board rooms or whatever will typically be the women who are good at it, and they will typically outperform the larger cohort of (necessarily) more average men.
You don't need tales of struggle or diversity to explain this. Minority groups will tend to perform better.