...and roughly 30-40 languages are not even shown on the map.
And how is there an overlap between the languages? Are we just talking about dialects or separate languages?
Well, there is no overlap, they don't even understand each other. Separate languages and not infrequently ancient tribal languages. For example, in Yunna there are minority ethnic groups, not even one, with less than three thousand people - one village each - with their own language, unlike any other.
There are many official languages in China, but the smallest minorities can also act in their own language. Yes, even in offices.
They often do not speak any other language, not even the most common Mandarin, so they have no other choice.
Source: Xian Na/Facebook