I would like to add to my post above, Bob, to prove the point that you are in fact correct.
Let's say that, as in the video, the players look at each other and say, "Re-rack?", "Yeah, re-rack..." and they totally ignore the referee who is standing a distance away. Then one of them (doesn't actually matter which) does something to disturb the table, say, he grabs the cue ball and lifts it off the bed of the table with the assumption that this frame is done, the balls will be reset.
Do you know the ruling? It is easy enough...the referee will state "Foul!" proper penalty will be enforced as required and the cue ball is to be played from in hand in the "D" as it was lifted from the bed of the table.
Now, at this point, the player who picked up the cue ball and committed the foul might again say to the other player, "Re-rack?" to which the striker will now answer, "What, are you crazy? I have ball in hand."
So the point is, yes, the players can agree to end the frame in stalemate and yes, the referee will always agree to it (although he is not bound to by the Rules), but the frame is NOT officially ended until the referee says that it is ended.