Checkink down an all-in player.

[Lafortezza]

Was playing in a game in my local cardroom recently. NL Hole'em freezeout. Down to the final 2 tables from about 7 full tables.
On the button holding AA. A player in early position goes all in for about 4000 on 500-1000 blinds and was called by 3 people before it reached me. I reraise all-in and got a severe talking to from several old hands at the table for not calling and checking it down to knock out the player all-in.

As it turns out the all-in player had pocket 6's.
The flop came A 6 x and the all-in player hit his one-outer quads on the turn.

With 2 tables about 14 players remaining would you do the same with AA on the button and one player all in or
would you abide by the 'knock the all-in player out' rule by checking it down?

On one side you have AA and are a big favourite over whatever the all-in player has. You want to win the blinds/all-in/calls.
On the other hand by simply calling you increase the likelyhood that the all-in player won't beat everyone but your chances of being
outdrawn for the pot are much much bigger.

Final table formed at 9 players left. Top 5 places pay out. I was just above average stack.