Don't think the SEC can win this battle, even if the courts initially are on their side

Just applying common sense here, but many members of the SEC are public, land grant institutions that require substantial federal funding on an annual basis,. Based on my rudimentary knowledge of the US House of Representatives, the Speaker of the House and Majority leader basically control the House agenda. All federal spending bills under the Constitution must originate from the House.
Obviously the Speaker and Majority leader would never allow LSU to be financially harmed. Just an educated guess on my part, but if the SEC presidents act irrationally towards LSU, the Speaker and Majority leader likely will have the last say.