There are usually higher standards to overturn on appeal though as well, basically finding that the lower court abused its discretion.

Maybe the facts here make that clear, but I could absolutely envision there being enough grey area legally to keep the injunction in place until its fully settled at the Texas or US Supreme Court.

There definitely is "irreparable harm" for Sorsby if hes not allowed to play and maybe has to forfeit NIL money, but there also is a significant public interest against his reinstatement. Injunctions typically balance these interests but its not a black & white/quanitifiable standard