I would think because they're hoping that if they can wangle a court to say that no blanket rule in prisons, and that specially vulnerable, sad men mean that women can be used as therapy animals, they can immediately get back to self ID again. Hence the lots of mention of poor men driven to suicide (by not being provided with women to use.) And there's the precedent and there's the end of single sex meaning single sex, and yippee, women are props again! The SCJ is defeated.
It's the wedge, they're hoping to force a closing door back open. Women's equality and rights are so inconvenient for these men.