sort of. yes, your "odds" are better because there will be no more betting, but its not 2:1.

9 flush outs. two cards to come (turn and river). no possible future betting. 9 outs X 4 (approx.) = 36% you still need roughly 3:1 to call.

9 outs. ONE card to come (turn with more betting, river). 9 outs X 2 (approx.) = 18% you need roughly 5:1 to call.

situation one is rare, though. also, remember that in situation one, you have NO implied odds to help your pot odds. the money is in, there isnt any leftover to win when you hit your draw...therefore, no implied profit.