I think it's the other way around, LH.
A player stays in line because he spins the ball.
I feel the trick is to let the tip go WITH the spin.....so you aim closer to center.
...and STROKE it, don't club it...a stroke is a gradual acceleration where
the tip stays on the ball just a nano second longer.
Clubbing is starting the cue too quick.
Here's an example of a player that gets all the english he needs...
..notice he looks like he is addressing the cue-ball center.
https://www.google.com/url?url=http...+olney&usg=AFQjCNGiTNyKCimyFjKCKJ7KZKZQxTAH9w
When you see a player cue a way to the side it means that the tip is
probably moving back towards center on the final stroke, thus he's
taking off what he's putting on, resulting in LESS spin.
Let your tip go WITH the spin...that's why you see chalk marks from
draw shots..why would side spin be any different?