PokerStars - $1.32+$0.18|100/200 Ante 25 NL - Holdem - 4 players
Hand converted by PokerTracker 3
BTN: 4,997.00 (24/19/11/83)
SB: 3,545.00 (20/18/3/108)
BB: 2,105.00 (0/0/0/2)
Hero (UTG): 3,932.00 (VP/PF/3bet/hands)
BTN posts ante 25.00, SB posts ante 25.00, BB posts ante 25.00, Hero posts ante 25.00, SB posts SB 100.00, BB posts BB 200.00
Pre Flop: (400.00) Hero has 6♠ 6♥
Hero raises to 404.00, fold, SB raises to 3,520.00 and is all-in, fold, fold
SB wins 1,108.00
Antes just kicked in, so in these situations we loosen up a lot and 66 go in to the muck on very rare occasions when we are first to act. I usually omr, take down the blinds or decide whether to call/fold vs shove.
I looked up this situation on sngwiz and it suggested to push with:

when the opponent calling ranges are, accordingly 5.9, 7.1, 7.4
simmilar pushing range is with nash.
My question is, if my line of play - omr and calling/folding in this situation is ok? since pushing when this deep in my opinion is wrong, because those times when I get called I`ll be vs better hands and probably bust out.