As usual, the answer is: It depends.
If you have a draw that is more than 50% favorite against one single opponent, then you should usually push it in cash games to the extend you can, hopefully all-in so you can derive the maximum benefit.
If you are short or medium staked in a turney, you should do the same unless you are near a bubble.
If you are in any other situation, then you must consider the implied odds
to get paid off. For example, say you flop the draw, you are OOP, and you have 25 BBs stack.
Then, you DO have to worry what happens on the turn.
It is likely that what you have read refers to all-in play.
Good poker is rarely all-in. It is all-in only by necessity