You are missing the key, painful step. After giving the luggage back, you must clear security back to airsde -- you have had access to your checked bag, and you must reclear security. This line was awful. If it looks awful, you could try reclearing security elsewhere. It's a crap shoot, might be just as bas elsewhere, but with 2 or 3 (or maybe more) TATL heavies trying to reclear the ugly checkpoint (where they seem not to have AC), I cant imagine 2 or 3 in the afternoon on a weekday is worse at F. So you'd leave the building as if you were not connecting, and walk to your choice of B/C or cab to F -- the walk there is a bit long. If you are savvy enough, you can look up at the bridges from the terminal to baggage claim. When bad, the security lines for the regular checkpoints back up across the bridges.