Not credited like that. I don't think there are other showrunners "like Sorkin".

Most showrunners don't take the "written by" credit on every episode. Those who do generally aren't using a room (e.g., Hugo Blick), or do their pass uncredited (e.g., Joss Whedon on Buffy).

And there are some showrunners who are the exact opposite; e.g., Jerry Juhl insisted on Fraggle Rock that every word that ended up on screen be written by whoever had their name on the writer's credit. If that meant they had to keep rewriting it themselves until he was happy with it, so be it.

Every writers' rooms breaks a story together as a group. But most aren't working for only one of the writers to pump out all the scripts, or for everyone to be heavily rewritten by that one writer every episode.