Most Anticlimactic No-Hitter Ever

The Milwaukee Brewers are asking Major League Baseball to review a scoring decision, that if changed, would retroactively give CC Sabathia a no-hitter.
To lead off the 5th inning, Andy LaRoche hit a weak grounder back to Sabathia, he tried to bare-handed but couldn't make the play and it was immediately ruled a hit.
I agree it probably should have been scored an error at the time.
But I don't see how you can overturn this. First of all, wouldn't that be the type of instant replay Bud Selig vowed to resist?
Secondly, couldn't it open up a Pandora's Box to every self-obsessed hitter petitioning the league office everytime he reaches base on a questionable error?
Can they go back and reverse what is widely known as a generous call that allowed Joe DiMaggio's hitting streak to extend to 43 games back in 1941?
I think the official scorer should have until an hour after the game to review his judgments, and that's it.
In this case, even if Sabathia is awarded a no-hitter, he's still robbed of the special feeling of sitting alone in the dugout between innings, of getting a standing O after leaving the mound every inning, and of celebrating with his teammates.
Plus, there's no guarantee he'd have pitched the rest of the game hitless had he actually been going for a no-hitter. I think overturning the ruling would cause a lot more problems than it would fix.