If a video is obtained illegally and is suppressed by a court, then the police/prosecutors could be sued for a civil rights violation if they leaked it to third parties, and what do you think the chances are that Kraft would go after them if they did that? This is not the Hunt situation, where the video was owned by the hotel. In fact, my guess is that the league could be sued directly by Kraft himself for engaging in a conspiracy to try to obtain an illegally-made, and legally-suppressed, video.
What are the odds that the NFL is really going to want to dig into that can of worms -- trying to obtain illegally a video that was ordered suppressed by a court? And for what? To suspend one of its own owners? Hell, my guess is that the NFL would be thrilled if the video is suppressed, so it could wash its hands of the entire matter and move on. Assuming there isn't a trafficking charge against someone, it's basically a run of the mill, victimless crime whether the public pressure for a league punishment will be an order of magnitude less than in the Hunt case.
For those who really want to see Kraft get nailed, the NFL isn't the entity on which you should be pinning your hopes. The best shot you've got is a third party like TMZ obtaining the video, and then publicizing it. That way the NFL wouldn't be on the hook for potentially being sued, and yet couldn't ignore the reality of the video evidence.
Of course, that's all contingent on Krafts' lawyers successfully suppressing that video. If it isn't suppressed, then the NFL likely will end up either seeing it, or having a conviction/guilty plea, and that will be that.
