For the sake of the Tibetans, I sure hope not. China and Tibet have a long history of unity, with the latter being a subset of the prior for much of its existence. Also, contrary to popular Imperial myths, Tibet was a feudal, backward cesspool of filth and ignorance prior to its most recent liberation, rather than some Disney-esque Buddhist paradise. Beijing’s rule has brought Tibet not only into the 21st century, but also into the 20th, the 19th, and perhaps even the 18th.
Iraq, on the other hand, has no relationship to the Empire, did not do anything to the Empire, and has not been made any better off thanks to your savage occupation of it. Unlike China, you do not liberate your brethren so that they can enjoy better lives; you slaughter complete strangers for the sheer hell of it.