I understand this is a question that involves an american community, but here in Brazil it's generally regarded as ridiculous because it is linguistically awkward and feels like a cultural import from the USA. Latine being no better than Latinx.

That may be relevant for first generation immigrants because the male form of words is perceived as both generic and masculine, it is the female form of words which is regarded as special. When you say Eles (they, masculine) it can be a group of men, but it is generally impersonal and without character. When you say Elas (they, feminine) it is always a group of women, and carries special meaning therefore. A group of parents vs a group of mothers, for an example.

I have to say that english could just call latin americans the latin community. It's gender neutral and a word in current use. Nobody from the classical region of Latium is gonna resurrect and be miffed about it and I'm positive there won't be any confusion with 5th generation italian families from New York.

Edit: to be clear, I'm not just talking about people online with transvestigation syndrome. For an example, when Dilma Rouseff was elected president of Brazil the Worker's Party made a big deal of calling her Presidenta. It is grammatically sound, as it follows the rule for Master (Mestre/Mestra), but it's also correct to just call her Presidente. The right wing made a big deal of refusing to use the gendered form because politics.

Now, for most normies it just sounded weird, not just because it's a new word but almost like a mocking thing to call the president. Latine and Latinx go beyond that. It will take a lot of work and outright imposition for those terms to filter down from academia and corporate authority, and it still might not in the end.