What? Why are you shoehorning LGBTQ into this... the intent of “…no men left” is well understood, and the vast majority of soldiers in Ukraine are male. The colloquialism is the same as your username rrr_oh_man. Man, and men is used are used in the same vain.
And what does this have to do with your male cousin?
Please re-read the thread, you might have misunderstood.
GP's comment was:
> You could have said "they don't have enough people". But instead you had to dial it up to "they have no men left"
which I, mistakenly, as GP pointed out here https://news.ycombinator.com/item?id=42349533, assumed to be a play on "there are also women on the front". Which there are, but in vastly fewer numbers.
And what does this have to do with your male cousin?