While the nut flush draw is powerful, raising it into a range that contains many made flushes is an overplay that burns equity.
Calling is the preferred play here. While we hold the nut flush draw, raising is often unnecessary as we have enough equity to realize naturally by calling a small bet.
Note: Raising is too aggressive on a monotone board where Villain has a significant number of made flushes; calling allows us to realize our equity more efficiently.
Raising the turn is a significant error. After HJ leads into us on a straight-completing card, our high card hand is purely a bluff-catcher or a draw, not a value hand.
Note: Raising here is an overplay; Villain's lead represents a polarized range that includes many flushes and straights that will not fold to a raise.