Yes, of course the NFL should care. And I also care. If he really abused this woman, then of course he should be suspended for the full 6 games, because that is the league's policy. And if he did not abuse her, he should get no suspension at all. That's why the stuff about a shorter suspension makes no sense to me.
All I am saying is that for this particular court case, before the Court of Appeals on Thursday, Zeke's guilt or innocence is not going to be addressed at all by the court. They are only trying to determine if there is sufficient probability that Zeke MIGHT win in a full trial (and again, the full trial doesn't determine of Zeke is guilty or innocent, it only determines if he got a fair shake under the arbitration). If they think there is a significant chance that Zeke might win his argument that the arbitration process was unfair, then they would grant the TRO. If they think there's little or no chance, they won't give him the TRO.
Even if he doesn't get the TRO, the case probably still goes to trial in the District Court some day. And if Zeke wins there, he'd get back pay, but of course the games would have already been played and he would have been out. As fantasy owners, selfishly, that's the only part that we care about.