‘lol male tears’ is empowering because many women are socialized to devote a ton of their energy to catering to the emotions of others, and they don’t have access to a lot of language that permits them to refuse to accept responsibility for other peoples’ emotional states (even when it’s necessary to maintain their own boundaries).
'lol male tears’ is awful because many men are socialized not to have or express emotion, and because crying is coded as unmasculine and pathetic. And making fun of men for failing to live up to the male gender role, or dismissing them by claiming they are doing something coded unmasculine, is really dreadful feminism.
I have seen lots of commentary on the 'drink male tears’ flavor of feminism and most of it seems willing to acknowledge one, but not both, of these two things.