I believe the new in vogue term is "Latine"

Thanks that is helpful. Is this clearly accepted enough to correct native speakers for example when proofing copy?

The correct name for a group of Latino people is Latinos, or Latinas if the whole group are known to be women.

How is that any different than just saying “Latin” … I’m genuinely trying to think of how this might be pronounced, particularly with an eye towards American regional accents and yeah… it’s not great.

Latine:

- Lah-teen … rhymes white latrine

- Lat-ein-e … normal “lat”, Germanic pronunciation of “ein”, like the number one or Einstein, “e” pronounced either “ee” or “eh”

- Latin-e … latin-ee, rhymes with matinee,

- lat-tine … lah-tine as in the tines of a fork.

Or my favourite

- Latin-e … just “latin” but spelled with a silent “e”.

This is less than ideal… outside of using mispronunciation as a shibboleth, you normally want a group identifying word to be clearly identified and picked up by any possible group members regardless of if they have heard someone speak it. You want such words to be easily used by the people who identify with it, also crucially it’s self-adoption by the group that is being identified that matters… If no one you would call latine likes you calling them latine, or latinx, or Latino or Latina or Latin… you probably should just ask them what they want and call them that instead, that’s just my opinion from over in Australia where this particular identity/word fight appears to have mostly gone unnoticed against our own local issues.

It's a Spanish word (a neologism, of course, used by a small minority of speakers at present), so pronounce it like any other Spanish word:

https://en.wiktionary.org/wiki/latine#Pronunciation_3

Admittedly the question of how to pronounce a Spanish word in English is non-trivial and subsumes the question of how to pronounce Spanish and the question of how to pronounce English ... but apart from that no special case is required for the word "latine"!

I was born in Central America and while not a comprehensive sample, I don’t know a single person where I’m from who doesn’t think this an American imposed thing that’s trying to fix our “wrong” culture.

Negative feedback after correcting a native speaker is either evidence of the sexiest bigoted Latinx culture - or evidence of a type of cultural imperialism depending on where you stand on these issues. I just wish folks could draw clearer connections to the harm of using Latina vs latinx

What harm?

It offends upper middle class, privileged white women with questionably valid university degrees in the Humanities and a value system based around the extremely questionable critical theory, rather than the extremely successful for humanity method we know as reason (or the less successful but at least proven to mostly not implode and utterly destroy society method of religious conservatism)

It is an American imposed thing that's trying to fix your "wrong" culture. It doesn't even make grammatical sense.