I suspect they're going to bring them all out in sort of a train operation. I thing they'll start popping out one by one every few minutes starting around 10:00 AM EDT our time.
In the meantime, there was a weird thing going on on Twitter 2 hours ago when the rescue was launched. A bunch of (paid) bots were pushing the meme that Elon Musk was saving the day and was designing a contraption (rescue capsule) to send over there to save them. Weird. 1000's of his followers are crediting him with this rescue. He popped on after that to chime in, cleverly commenting on the rescue but careful to not personally take credit (or deny it either).
I don’t know if they’re going to do it train style because if one kid panics then that kid could block the passage if it’s in a narrow spot... forcing the ones behind to turn back... and it might not be a spot conducive to turning around in.
They might bring them to the next pocket, but in a narrow passage I would think they would only want one kid at a time until he clears it.