I think in this scenario whether you"d shoved or raised to 2000, with the type of player you describe the button to be, plus the fact he"s just 4 bet an UTG raise and reraise, he"s only ever gonna have one of 3-4 hands here. AA/QQ/AK. So by definition he was never going anywhere whatever you did. The long term outcome is probably the same for either play in this situation.
You can"t necessarily rely accurately on what the original raiser said he might do if you"d just shoved. If he is a "pro" he might"ve said that to try and tilt you
Marty, do you have some in depth info on this hand by vaswani? As with tv its always difficult to appreciate the situation, but on the face of it it seemed a decent play. He narrowed his opponents range down to one hand and correctly folded. However, due to the lack of info on TV I dont know how much of his stack he burned in finding out his opponent had aces. He did, however, manage to keep himself in the tourney at that late stage which may mean making a -EV play on a one off occasion ensured he didnt bust out of a tournament where the prizes were very lucrative. Let me say though I"d never fold kings preflop. I can"t remember as I say how it went, but if I"d raised with KK preflop and got 3 bet, depending on the stack size I"d probably just shove and shrug if he had aces (shrug and be sick if it was a situation with that much cash on the line though I have to say)
