Basically I think though my latins rusty it reads like google translate in that the form seems wrong like someone transliterated English to Latin and ignored Latin grammar and logic in that Latin speaking people in Latin really doesn’t exist in the same way. Latini I think was only the subgroup of Latin speakers in Italy named Latium, either way not how a Roman Latin speaker would refer to a Latin speaker in general, not that the concept existed in the same way.
https://en.wikipedia.org/wiki/Latium
It’s kind of like translating Japanese directly into English, reads off if you say in the room there are many chair in English kinda deal.
It’s pretty common in Japan actually for a few reasons. One being space saving. And you got it the wrong way around the gray water from washing is used to flush.
https://www.snopes.com/fact-check/sink-toilet-japan/