Don't know the case name, sorry.
I support the Supreme Court's decision.
I don't think there was ever a court decision.
First, it is Texas Wom
an's University, with about 10,000 students, with a main campus in Denton, and satellite campuses in Dallas, and in Houston (at the Texas Medical Center).
In 1994 (around the time of the VMI decision), a male student was denied the opportunity to change his major. He had been admitted under a policy that admitted males into programs that were not available elsewhere. But since his new desired program was available elsewhere, he wasn't permitted to switch. He complained to the press and legislators. Soon afterwards, the board of regents decided to open all undergraduate programs to men.
The University of North Texas is also in Denton, and women at TWU have expressed concern that enrollment of men would diffuse TWU's special mission as being primarily for women, and lead to a merger of TWU into UNT.