This being a Party sng it's quite possible that one of your opponents has some ace and the other has some non ace crap hand in which case folding or giving a free card is sick. Don't get me wrong, I hear what you're saying but still, the way this hand played out doesn't hindsight tell you that there's a good chance that the flush was not there and you were ahead on the turn and doesn't that make you want to reconsider how confident you should be here that the flush is out there?

You think it's easy to say they're probably on hearts but isn't it just as easy to say, well someone has hearts so check-fold the turn? Off the top of my pointy little head, say you push the turn, 25% of the time you take it down, 25% of the time you are called and are ahead and 50% of the time you are against a flush, that still works out pretty well compared to folding.