The death of EV: Is checking behind more + EV or should we shove?

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The death of EV: Is checking behind more + EV or should we shove?

Hey

1/2 live game with mandatory 5 button straddle. 8 handed. Everyone at the table is a VPIP 80%+ fish very call happy

EP opens pot and there are 2 callers behind we squeeze from the BTN with KK76ds (ignore the part whether it is a good 3 bet or not )
Everyone calls.
Flop SPR: 2
Flop KJTr (we have 2 BDFD)

My friend said that it is an easy shove at spr 2 but, i think checking behind is more +ev.
Agaist 3 people(12 cards), even loose it is very likely that a straight is out and noone ever folds Q9.
We have not a ton to protect against.
We cant really get value from hands we crush (there are a few JT, TT,JJ- but we can stack them anyways by playing turn and river)
So I decided ti check behind and wait for my BDFD or the board to pair.
I also expect a lot of implied odds, on both the boat and the Bdoor flush (from straights and from worse boats)

This is a concept I watched in Phil's Death of EV Unexpected value video back then, and it just came to my mind- I think its quite relevant.

What are your opinion guys, and put things in more detail why you think what you think :)

Eph

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