Fine, there might be an underlying theory that explains everything better than the "power" theory, BUT YOU HAVE TO PROVIDE IT before you can argue that it is superior.
This predicts the % of women in academic physics relative to academic bio, IT relative to HR, and quite a bit more. Anyone who disagrees is welcome to try and find cases where this theory fails to fit the data.
That you continue to believe this theory despite so much contradictory evidence is perplexing.
Also, it's a bad theory in that it's a description rather than an explanation. Even supposing it fit the data better than it does, why would it be the case that more math = less women? I mean, no one suggests that men are 5x or 8x better at math than women as direct studies clearly show it is not the case. So even if it were a good description (though it isn't) it is not the least bit explanatory. The ultimate explanation of such a theory is still likely to be social.
It is probably true that women, on average, are more empathic than men, and therefore would prefer professions that involve working with others more, but that difference is nowhere near the actual participation rates that we find, so it can't be a major explanation.
A "theory" which fits the data -- on average, of course -- much, much better than yours would be "women choose professions with less money and less prestige". This "theory" is surprisingly predictive because, amazingly enough, women choose to be paid less money than men even while doing the very same job, so it must be right.
[1]: http://www.unwomen.org/en/what-we-do/leadership-and-politica...
[2]: https://www.american.edu/spa/wpi/upload/2012-Men-Rule-Report...
http://philip.greenspun.com/careers/women-in-science
Obviously this is about averages, there will be several women here to whom the theory does not apply.
That theory is even wrong for science in general, especially considering that women participation has been increasing, and that some scientific fields -- that are just as demanding -- are actually dominated by women.