I disagree. I do not think it is easier to make most shots with draw. In the beginning, when learning to play most people use too much draw. Mostly because beginners tend to undercut shots, and shooting with draw there is less throw (because of the spin and often slightly higher speed). After you learn to play center pocket with all kinds of spin and speed I don't think it is true that draw is easier anymore. I shoot as many shots as I can with slight top spin/stun/stun-draw (all close to true center) not because it is easier to pocket, but because the cue ball path is predictable. I might (and will mostly) go off both the vertical and horisontal center, but I try to stay close to both.
In fact I will argue that there is a slight perceptual illusion when using draw, that can cause you to hit the cueball off center unintentionally. I have no proof of this other than having it explained to me by experienced players and having experimented with it.
The only kinds of shots where I use draw especially to pocket the ball is if the object ball is close to the rail and I have to graze the rail into a half obscured pocket with slow object ball speed. In these cases a very low, slow speed draw shot will ensure a clean contact (no skid) with this slow speed (obviously only if the cueball and object ball are quite close). If I can't use draw on these I'll use slight outside (it doesn't put the correct english on the object ball in all cases, and the amount is pretty unsignificant anyway, but it does help get a clean contact).
The only thing I've found to make pocketing most balls more predictable is to be absolutely sure of what kind of spin I'm using before I get down on the shot. That frees my mind to focus only on aiming the shot and "forget" about the spin, in fact I think this is the main mechanism at work here. Snooker players tend to play balls "plain ball" (just above center) if they are just cinching the ball, pool players often use draw instead. I think it is mostly about using the spin you are used to, and thus "free up" your mind to concentrate on the pot.