I sing, and my voice is rich, warm, and deep. Some choirs I've attended were happy for me to sing tenor with the menfolk, as tenors are often thin on the ground because younger men don't often want to sing in church, for instance, but some choirs have refused to let me sing tenor, often there is no alto section, and I've been stuck in with the second sopranos (mezzos). Because I have tits.
I can do it, but I don't like it. I don't like listening to it and I don't like having to concentrate to place the notes, and I think it sounds screechy at the top of my register despite my best efforts. Fine in a group, but I wouldn't do it solo.
A choir master once pointed out to me that they thought it strange my singing voice was so deep, as my speaking voice wasn't, and I'd actually never noticed. I knew I loved to sing, but I'd never liked listening to myself talk: I sounded like Minnie Mouse.
I had a think, and realised that I'd spent years desperately trying to signal that I was, despite my short hair and baggy jeans, a woman. My 'manly' voice had occasionally drew criticism from others, and I didn't want people to think I was, as my brother called me, 'a Lesley bean', and so I tried to appear girly, and the voice was something I could use to signal my femininity.
now I'm in my 40's, and my deep, commanding voice signals authority. I'm great at speeches, and great at crowd control: my voice makes people do as they're told and it makes people listen.
If you listen to female recording artists, most of them are soprano. There's a handful of altos, and they're usually fat, ugly, or lesbians. (The three cardinal sins). There's never any bass females. They exist, and yeah, they're rare, but they do exist. But nobody wants to buy their albums. Soprano is how women are 'supposed' to sound. Like children that you can easily dismiss, perhaps, the pretty fluff warbling about crap boyfriends and romantic entanglements. Safe, non-threatening, easy to control with a few slaps.
again, I suspect female socialisation and/or internalised homophobia are the culprits. Society needs to stop telling young girls what they should and shouldn't be to be 'real' women. XX Chromosomes. That's all. The rest is conditioning.