I think you'll be told here that a same-day flight on AC in J will get you that. I believe it.
However my experience in October at EWR (arriving AC J, leaving UA domestic F) was that the agent thought I didn't have the right to access but let me in as a favour (or more precisely, a favor

). Whether that's true or she was just having a bad&good day, I don't know. I had a 12hr connection and the terminal was a zoo, so I was glad to hide there.
=aw