Okay then, if there is a set out there...

Board: 4s 6s 5h
Dead:

equity (%) win (%) tie (%)
Hand 1: 32.8165 % 32.23% 00.59% { 7h7s }
Hand 2: 09.6715 % 09.08% 00.59% { TT+ }
Hand 3: 57.5120 % 56.92% 00.59% { 44 }

Our equity has only dropped to 32%. With the increaced pot size from villian 2's call then it is clearly still +EV. Makes sense as, apart from FH redraws, our outs are still live.

The nut straight would make things a lot worse but as we hold half the 7s and its a raised pot this is highly unlikley. I don't think anyone would chase a flush at this level with this action, but who knows? I think a set is the only real hidden danger / too tired to do any more.