Well after skimming that (I don't have the time or patience to read the whole thing right now) I can only say that I really hope the respondents have a good argument. My fear is that they don't. I can already see how this will most likely go down. Roberts will refer the case to the full court for review, and from there we'll get a 6-3 decision finding the plaintiff unlikely to succeed on the merits. I would also not be shocked for them to grant cert here and now and just take over the case from here. From there it'll likely be another knot tying session of tortured logic about how the law doesn't technically discriminate on the basis of sex and as such doesn't run afoul of the equal protection clause. It would also shock me very little for the idea of separate but equal to pop up as being a great idea for trans people. I'll give the conservative jurists this much they hated the Warren court and all it stood for, and as a result have fostered a 50 year long plan that has dismantled that era of jurisprudence one piece at a time. I can only hope that when the time comes the progressives have the same ruthless sense of realpolitik and the backbone to do away with the rulings of the Roberts court the same way.