The entire command crew, or at the very least Picard, should have been given court martials over the loss of the Enterprise-D. And even if they were exonerated, there'd be no way they'd all be serving on the same ship again, much less the new flagship of the Federation.
Even in-universe. "The Measure of a Man" gives us several details about Picard's court-martial over the loss of Stargazer, with no promise he wouldn't have been booted out of the fleet if he hadn't been sleeping with the court prosecutor!

It seems therefore doubly unlikely there wouldn't have been at least some disciplinary action on the destruction of Enterprise, and unless the crew lied through their teeth and doctored official records etc for the court-martial I'd have at the very least expected Riker (as officer in command) to be kicked in the pants. I'd nominate Geordi for a certain amount of incompetence too.