the best hand we beat on the turn is AQ. just about half of A9-AQ combinations include a heart, and we have <50% equity against A9-AQ hands that include a heart. soooo yeah, you definitely have a bluff catcher hand.

i think you're probably overestimating how often villain is bluff at this board because even a completely braindead poker player can see that you're repping a whole lot on this board that isn't gonna fold to a raise here. if he is bluffing, i think he's usually doing it with outs, so his bluffs aren't gonna be nearly enough to give us the right equity to continue.

and oh by the way, we still have the river left and we're gonna be OOP against an aggressive player (one who's betting the river enough for you to think that it's more profitable to c/r for value rather then vbet), so even if we had the right equityot odds ratio, we're prone to be poned