I haven't seen convincing evidence to support this.
There's the possibility that the differences we see in the higher echelons of chess arise from biological differences between men and women. But that possibility is not being explored for political/social reasons.
There’s a famous experiment by the Williams sisters, two of the best female tennis players ever, who got demolished by a guy ranked 203rd in the world. There is no way for a woman to make up the testosterone difference in sports where physical prowess matters.
https://www.sportskeeda.com/tennis/news-the-williams-sisters...
No that doesn’t mean every man is fitter than every woman. It matters in top ranks of a sport.
And no, the brain consumes mostly sugars.
https://www.cnbc.com/2019/09/22/chess-grandmasters-lose-weig...
EDIT: They don't cite any papers though