Decided that it might be important to review the rule with definitions:
Can be met by either:
(1) holds a J.D. degree, from an UNapproved law school that is accredited in the state where it is located.
(2) holds the equivalent of a JD degree from a law school that is accredited in the state where it is located AND that requires a course of study that is substantially equivalent in duration and substance to the legal education provided by an approved law school.
“Accredited” means that a law school is recognized as being
qualified by the competent accrediting agency of a state or foreign jurisdiction, by a political subdivision of a state or foreign jurisdiction, or by another authorized body of a state or foreign jurisdiction.
“Approved law school” means a law school approved by the American Bar Association.
Don't read more into this than is actually present.
1) is referring to non-ABA approved law schools which are accredited by the state bar.
2) is referring to non-JD law degrees (LL.Ms, I suppose) which are accredited in the state in which the law school is located.
In either case, I see no provision whatsoever for an unaccredited law school. The TX rules, as far as I can tell, explicitly require at least state bar accreditation.