That's an NCAA problem, not a Notre Dame problem. If ND allowed the four players in question to continue practicing, playing on Saturdays, etc. wins might be vacated depending on the outcome of the investigation.
It's pretty clear at this point that ND didn't intend to publicly identify those guys. Their identities were either leaked by someone on the inside at ND, or by someone at the NCAA once ND notified it of the investigation (and based on the timing of the leak, the latter seems much more likely here).
I think you are incorrect about allowing players to continue practicing while under investigation being grounds for vacating wins. Playing in games is another thing altogether. Father Jenkins made it clear last Friday that no one had at that point been judged responsible for academic dishonesty. Until they have been a) judged responsible for academic dishonesty and b) played in a game, where is the violation?
Now it may be that the university has overwhelming evidence of academic dishonesty by all four players and that the hearing is almost certain to find that these players will have to be hit with further sanctions. If that is the case, then my criticism is off-base. However, if even one of these players is judged innocent of the charges, the university has shown poor judgement, in my opinion. What NCAA rule says that if a player is suspected of breaking NCAA rules, he must be held out of team activities until his innocence can be determined? If the university does not have an obvious open and shut case against all of these players then they should have waited for the hearing before punishing them.
I respect the university's honor code and I applaud their insistence that athletes are not above the rules. I am just concerned that they may have jumped the gun by making the investigation public and sanctioning potentially innocent students without due process.
As for the public identification issue. You are correct that Jenkins did not name the four players involved, but he announced that four players under investigation would be held out of practices beginning immediately, then the four guys were out of practice...so really their identities were made public partially through the actions of the university.
I understand your position and agree with most of what you say. I just think that
if nothing is yet proven, due process should be allowed to proceed without punishing the innocent.