Google search Cherokee, turquoise, bolo
I'd say the kid's got a point. Especially considering he wore it regularly to other functions. And for you to say it's historical inaccuracy, I don't remember him saying a specific date. Anything before 1985 to him was historical. Does that also mean we shouldn't remember WWII victories yet because they're not historical enough?
Heritage and historical are not synonyms. Hes claiming that the bolo tie is an intricate part of his racial heritage. Its not. The fact that Indians make them for sale now does not make it part of their heritage. The current common manufacturing origins of plastic leis, tomahawks, shamrocks, eiffle towers, and fake vomit doesn't make those things part of Chinese heritage either.
But the historical inaccuracy of his claim is irrelevant to those cowed by any claim of racial grievance. The kid is smart enough to know what strings to pull.