Yeah, it does, at least at this point in time.

I personally think that it depends on how you die. I mean, we know that spiritual beings can procreate, otherwise we wouldn't have noble families like the Kuchiki or blood siblings like the Shiba. My guess would be that the ones that are actually born are, to some extent souls that didn't require the help of a shinigami to cross over. I mean, not every soul hangs around and needs to be konso'd, a lot of them just go on their own so I always assumed that some number of those were "born" into Soul Society.