My opinion is that if you have some papers that would hurt your integrity to come out, then their release is never the problem, it is the papers in the first place.
There has never been a leak like this in the court’s history; and the way the court works is that an opinion is not an opinion of the court until the moment it is handed down. This is a first draft from February while the court is still in its deliberative process and it has the potential to undermine the trust between Justices and between Justices and their staff not because of the contents of the draft—each and every Justice already had access to it—but because a leak happened at all and it was a politically motivated leak.
So yeah, this matters, and so does the state of the court’s integrity not because of what the general public thinks, but because if the court is to function at all, the court itself needs to believe in its own integrity.
My opinion is that if you have some papers that would hurt your integrity to come out, then their release is never the problem, it is the papers in the first place.
Doubly so in the case of a government agency.