100% agreed!!! Half of my students tell me they never in their life would have ever hit the cue ball where I want them to if I hadn't been there with them forcing their hand. One thing I often have to do is place a blocker ball in front of the cue ball to prevent them steering back towards center. They just have no idea how far off center they can hit.
One reason for this is 'tip scatter'. I heard Mike Page use this term first. The idea is that no one hits exactly where they are aiming on the cue ball. If we shot 100 shots and you could see the shotgun scatter of our different tip impacts on the cue ball it would form a small circle. For some it is half the size of a dime. For some it is the size of a quarter. For some a half dollar.
Mike Page made the point that we each have our own maximum off center as defined by our tip accuracy. If we aimed at the miscue limit we would miscue half the time, i.e. the half of our shots that erred outside the miscue limit. So we all have to aim the radius of our scatter inside the miscue limit so that 99%+ of our shots are good hits.
In short, the better our tip accuracy the further from center the miscue limit becomes. Most players have poor tip accuracy and are very limited with the spin they can apply, be it backspin or sidespin. Of course with backspin this creates a negative loop. They aren't drawing enough so they increase power, this increase of power makes their tip scatter worse, they then have to aim closer to center. Soon players are shooting one tip low at break speed to draw the ball.
The key is to reduce cue power and improve tip scatter to unlock new parts of the cue ball where it reacts more lively and with more control. Easy to say but old habits die hard. That is why when I teach draw I often lay my break cue across the table with the butt on top of the rail and the tip below the opposite rail forming a ramp. I put the cue ball in front of the break cue so they have to cue underneath it. This forces them to hit accurately and prevents them from shying away towards center. Pretty soon they can hit the right spot on the cue ball. Same with my blocker ball for sidespin.
There are many ways to help people improve their tip scatter but it starts with an awareness that there is a lot more meat on the bone than people realize, or in other words there is a lot more cue ball out there than most people think.