Yes, lots of them don't want the 14th amendment. They have racist/ethnocentric land ownership laws that contradict the 14th amendment, the same one that creates birthright citizenship.
There are also allegedly some low quasi-government tribal positions in remote areas where women are effectively ineligible for office, though this one is less provable, it also would not be consistent with constitutional protections.
So many historical curiosities in this whole thing. Hawaii vs Puerto Rico, for instance, the latter having more people but not a state. I imagine we put up with the Samoan rules because we wanted the strategic base. My own citizenship rests on the fact that other territories have been included into birthright citizenship by statute.