After taking university music courses, and then private singing lessons, my observation is that most men learn to pitch their voices into a lower register - in order to sound more manly. Gay men tend to stop pitching their voices downwards and this leads to the perception that gay men use high pitches. Likewise, girls are taught to pitch their voices upwards and lesbian voices seem "mannish" due to stopping to pitch their voices to a higher register. It is my theory that men's natural voice/register is a lot higher and that if boys didn't try to sound macho, there would be a lot more tenors and counter-tenors (which is where my natural singing voice goes - not baritone like I thought it was supposed to be).
I doubt this is correct. Women tend to be mezzos and men tend to be baritones entirely based on the structure of their vocal apparatus, not because they are trying to force a sound (with the possible exception of gay men). In most cases, men who are good singers tend to sing high because that is where the demand is (tenors in classical music and also very high pop music), but as they learn to relax their larynx their comfortable range often drops.