I doubt it is anywhere near just as likely to flow in the opposite direction. It's not like masculine white males are favored just because of their voice pitch. That ideal as the ideal of power is deeply ingrained in our society.

More generally, humans will basically always show bias towards those in more dominant groups, because currying favor with such people is a far better winning strategy than being nice to low-status individuals. Whether the Hutus and Tutsis, white and black, masculine male vs effeminate, etc, it always is the same.

This is just an unfortunate thing about the human brain, but we can use our reasoning ability to correct it. But first, we have to accept hat it exists.