Their rich culture is what got them defeated at the hands of the British in the first place. Accept it or not, Asian culture is great pre-industrial revolution, since then, a new culture is born, not British, French or anything, but a mix of Modern with classic. Like a Suit in the forbidden city, or classic Indian dress in a car.
The Tibetans being a member of China must assimilate as we have to the new culture that also includes, BUT not dominated by old.
America is American first and whatever else second, China is the same way, Chinese first, your own culture second. America doesn't allow a second language and neither do we. It's counter productive for them, and not really anything for us.
Tibetans being people can be just as destructive as any other people, the Tibetan Generals in the PLA can certainly command his unit as well as any of his peers.