It's performative.
It means SCOTX governs who can sit for the bar, and that's usually a graduate of an ABA-accredited law school, or one with an exception, an "approved school."
Now, it's whatever school SCOTX approves, which also means ABA-accredited.
They're not going to start independently approving/disapproving law schools.
What might eventually happen, though, is some bunch of right wing loons put together the Acme School of Religious Freedumb and SCOTX might approve its graduates to sit for the bar, but that will only be in Texas, and maybe Floriduh and a couple other places.
But like most of the marginally accredited schools that have been in Texas, the school will probably struggle financially.
I suppose at some deranged point, they might actually disapprove of HLS, YLS, etc. or any school, including UT, that's too woke. But that's a ways off on the timeline and we'll have a lot bigger problems by then, anyway.