She didn’t casually claim it during political campaign trip. She mad claim on formal papers like application and others. I do believe she committed fraud
The idea of calling oneself an Indian, when your degree of blood is practically nonexistent, is akin to Rachel Donezel calling herself black. The only way the Cherokee nation would consider her a Cherokee, is if she has a descendant on the Dawes Rolls. A DNA test will go NOWHERE in determining tribal affiliation, and in fact, a DNA test will not define one as a member of a particular tribe. And the Cherokee are the only tribe I know of, who will accept any level of blood degree, no matter how small, but without that Dawes roll, she cannot call herself a Cherokee, and with the miniscule amount her DNA test reads, no other tribe will claim her, either, unless one of them wants to adopt her for political reasons.