I guess one of the problems might be that populations of young and upset men can be quite anti-social and lead to societal issues and harm which are otherwise hard to address, just look at what's occasionally happening in America. Therefore, one could argue that it's better to keep them preoccupied with something (work, sports, other hobbies) as much as possible, though mathematically many of them might never find a partner and that human need for a relationship would go unfulfilled.
If that issue might be mitigated somewhat with an LLM that's basically just "smart autocomplete" so they're less miserable, that's probably an okay start. Same as how all sorts of forms of entertainment can keep populations of people more complacent with whatever their life circumstances are, instead of rioting in the streets. As for the ownership and control argument, I wouldn't go as far as to anthropomorphize a computer program, no more than I own a copy of Microsoft Word, or no more than GCC serves me by compiling some code.
The wording of the parent comment is a bit interesting, maybe a bit tongue in cheek and hopefully wouldn't get applied in any capacity to real human beings. But I can kind of see the point, even though it's very dystopian: a purpose built LLM might eventually gamify being an adult and taking care of oneself, like having healthy meals and working out in exchange for EXP points (which honestly isn't bad, like how many fitness bands and their apps do this), but with a helping of whatever the party ideology is, in addition to spying on the user a lot, vs something running locally.