I don’t believe it. You’re saying it acquired this great gash, then sojourned well past the harbor to the north, executed a 180, then got itself hung up on rocks remarkably similar to the ones that caused the gash earlier.
I guess this is in fact close to what happened. A few points turned me around ( ha ha . ) First, they weren't headed for Giglio, so it wouldn't make sense for them to be trying for the harbor while under normal conditions.
Then the accounts from the passenger POV made it seem like it just ran hard aground and everybody started to scramble. These accounts can't be read as a timeline, though. It is possible to infer a lapse of time between the initial shock and the evacuation at the final position, as seems to be the case. It's not really very far to sail - just about a mile, maybe, so even at slow speed it could have been just 10 or 15 minutes.
Finally, I read a more complete account from the navigational POV which does outline these events.
What did you read?