I have no problems with existing docs.
I have no problem with people who have no interest in playing out romantic relationships.
I don't think the two are at odds with each other, the holders of each view just have to respect each other. In terms of game behavior, holding respect for it doesn't mean 'Never bring it up', it means play along. In the aforementioned scenario, I'd say the problematic part was producing a virtual partner; in terms of game actions, that is someone your character cares about and is influenced by, but is untouchable by means of anyone else in the game.
We have similar constructs, in virtual children, virtual tribes, etc. But I can see people having issues with it on the OOC level, and on an IC level, wondering if you're putting something past them, so I think it would be better to clearly identify that you character doesn't do relationships, and know that occasionally, someone might try anyway. It's not any different than the people who don't like relationships in game, or the relationships chosen, and putting them through the same sort of fire for what they're doing.
It is, give and take, a pretty equal tug of war. But if it crosses into the realm of disrespect for the player who is acting within confines of the game, there and only there do I have a problem.