I think for 10th Planet to qualify as American Jiu-Jitsu, it would need to get to a point where people from outside the US would have to assume an American doing Jiu-Jitsu is doing 10th Planet. As in, if you meet a Brazilian, and he says he does Jiu-Jitsu, it's gonna be Brazilian Jiu-Jitsu, as opposed to Traditional/Japanese JJ.
They used to just call it Gracie JJ before the UFC exposed it to everyone, right?