Guy Accidentally Busts Me

We're about 3.5 hours into a 1K multi-table satellite for the WSOP main event. Blinds are 300/600/75. Short stack moves all in for 3600. Button doesn't realize there's someone all in ahead of him and says "call", planning to call just the blinds. I have 99 in the BB and a little under 10K in chips. I shoved, Button called with JQ. Short stack has 66 and Button ends up busting us both with a hand he didn't even mean to play.

I wonder if my better play isn't to call and shove any flop. I kind of doubt that Button was open limping any pocket pairs, so there's not much danger of chasing out the hands against which I have the best equity. He was pretty LAGgy though, so I wouldn't be surprised if he would play something like 87s or some other hand I've got in bad shape the same way. It might not matter too much in the grand scheme of things, but it probably would have won me this pot.