Actually, it does matter. An institution which was forced into implementing non-discriminatory policies rather than voluntarily doing it of its own accord is highly indicative of an institutional culture which has to be forced by higher authorities to be constitutionally compliant as opposed to doing it because it’s constitutionally and just as importantly…morally correct.
By the same token, an individual who is compelled by court rulings/law enforcement or lawsuits to comply with legal/ethical regulations tend to be viewed with far more skepticism about his/her character, motivations, and willingness to comply as opposed to someone who volunteered to do so of his/her own accord without being forced.
Considering The Citadel doesn’t mandate its graduates to accept a commission/join the armed forces upon graduation and the Citadel does have a small contingent of civilian students who aren’t obligated to join the corps of cadets, I would.
It’s not an FSA or joining ROTC as a scholarship/3rd year cadet where all graduates are mandated to accept a military commission/join the armed forces upon graduation to complete a minimum service obligation unless something serious happens to prevent that such as a serious debilitating injury/medical condition incurred during their period when they are held to that service obligation.
Incidentally, that’s a similar tactic to what Bob Jones U accepted when the IRS revoked its exemption for promoting racially discriminatory policies such as barring interracial dating among its students in the '70s.