As we see, that isn’t at all true.
The ariticle you quoted should tell you something.
western people and CHinese has misunderstanding of the relation between tibet and CHinese empire.
western people often think tibetan was a protectorate of Chiese empire.
In fact Chinese empire looked on TIbet,Mongolia as “Inner vassal” and dealt with the affair by a special ministry called “ ministry of inner vassal affairs”.
During Chinese empire era, Korea and Vietnam were the real “protectorates”,because Chinese empire looked on them as “outer vassals” and dealt with the affairs by the ministry of foreign affairs.
Tibetans have maintained ethnically separate bloodlines and language for their entire history which indicates that China never had real influence over them. Sometimes China claimed to rule Amdo and Khams and sometimes Lhasa claimed them. But the people of Amdo and Khams never recognized either authority and neither one had the power to do more than illicit token treaties and obeisances from them until the invasion of the 1950s.