Seems an important part of the Cherokee Nation press release is overlooked.
"Sovereign tribal nations set their own legal requirements for citizenship. … Senator Warren is undermining tribal interests with her continued claims of tribal heritage." https://www.kjrh.com/news/local-news/cherokee-nation-issues-statement-on-sen-elizabeth-warren-s-dna-test-results
Sovereign nations can grant or deny citizenship based on criteria the sovereign nation chooses. Interlopers claiming citizen status [equivalent rights] do a disservice to the nation they are trying to misuse. Apropos to the interlopers coming through Mexico right now. And all illegal immigrants already here.