What a can of worms that would open!! In fact there might not be that many sites NOT assignable to a "minority"!
Just think of all the minority tribes in Africa alone
Buganda, Battamariba, Shona, Zulus and what about the Afrikaaners (they are a minority -perhaps Robben Island would be suitable!) etc etc
And the Cornish in UK had better have the Mining Landscape.
And the Tartars would have Kazan
And the Karelians would have Kizhi
And the Totenac would have El Tajin
And the Zapotecs would have Monte Alban
And the Oromo (or even further down the chain the Dassenechs or the Mursi - they are still fighting!) would have the Omo valley
And the Hararis would have Harer
And, assuming KUK is inscribed today, the Kawelka would have that
Have a look at http://www.unpo.org/content/view/7783/240/
to find a few more.
We are ALL minorities now!!