A draw stroke isn't anything but hitting the cueball below center. The farther down the cueball you hit with the cue tip the farther it will draw. Alot of people employ a different stroke to draw the cueball. To draw the cueball it takes nothing more than the same stroke (if it's a good stroke) to draw the ball as it does to shoot center ball. I use the same stroke to draw a ball as I do to follow a ball and I have no problem drawing a ball back and forth 9 feet with a medium-hard stroke.
There is no benefit to changing your stroke to draw a ball. With every stroke you do it should be light, fast, effortless, and complete. Thats the most efficient and effective stroke you can employ.