Don't most people maintain the view that Tibet is part of PRC China? They might think further autonomy or independence for it would be a good thing, like the Basque Country, but the control isn't really disputed right now. And nobody really seems to think it should be part of India.

In contrast to Taiwan, where the governments in both Beijing and Taipei officially maintain that those places are part of the same country, and the international community sometimes pretends the same and only recognises one government, but de facto everyone trades with both countries and deals with both governments.