I have come across this a few times. I usually don't take deals because I'm in it to win (have won three times, was offered a deal once and I turned it down). There are many factors that go into it.
You mentioned 3am....how long were you playing for? If you are tired and worn out, you will not be playing your best. Taking a deal might be a more profitable move there. What do you know about your opponent? Easy to beat, or a real challenge? Again, that could alter your decision. How serious of a player are you?
The other type of "deal" that I have come across many times is the side pot for the bubble burst. Now, I know this isn't really a "deal," but I consider it to be pretty stupid. Everyone agrees to pitch in around $20.00 or so and the side pot goes to the guy that busts before the cash. This only happens when you are AT the bubble, NOT at the start of the tournament (obviously). I hate this with a passion; it's the bubble. Period. If you get money, then the guy BEFORE you was the bubble. Does it really matter? This is poker. Sheesh.
I usually chip in anyways because I don't want to be the only guy who disagrees....someday I'll grow a spine and be a dick about it