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Thank you, Luka! :D

You just like to argue, that's all. ;)
I didn't say that "по-латински" is incorrect, it's a matter of preference indeed. In some contexts "по-латински" and "латинский" sound better (like in "учебник...

"Говорящие по-русски" is perfectly ok too, and less formal than "носители русского языка".
Just one small correction:

-> на латыни is much better
Latin is one of the few languages, that have...