Fairly true, but there's no such thing as Tibet.
It's the Tibetan Autonomous Region you're talking about. This was pretty much Central and Western Tibet, historically.
In "Eastern Tibet," which was Kham, I understand it's somewhat easier to move around, and less restrictive, over-all. I've not been, but have many friends who have, and it all depends on who you go with and where you go.
If you have an experienced guide, you can get around some of the PRC hoops....
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