Yeah, I think that's the problem; there isn't really an authoritative, all-encompassing CRT curriculum. CRT is an evolving field of scholarship, with the only real common ground being a focus on power/privilege dynamics and racial equity.
Most of the people on both sides will claim that they're talking about CRT and their opponents will argue that they're not or that they're missing the point. And in the end, it doesn't matter!
Nobody has a problem with CRT per se, people have a problem with the race essentialist ways its ideas are being interpreted and taught, particularly (as much as CRT's defenders like to pretend otherwise) in schools.