Thanks for correcting me on "push the boat out" vs. "push the border". Whatever they might have pushed, though, I still consider it likely that they were Mark Knopfler and Ed Bicknell.
Also, I very, very vaguely (and even that is an exaggeration) remember reading somewhere that Let's See You was played over and over again at the studio just to annoy Ed. No idea if there even a sub-particle of truth in that, though.