Excellent description of a good ball striker. Also, your counter point was a good one as well. Accuracy starts with striking the cue ball accurately. All great ball strikers have that in common...they strike the cue ball exactly where needed to get the desired results. Depending on where we strike the cue ball will determine how much "squirt" and "masse" goes into the shot. Two integral actions that we all need to understand to improve on our accuracy. Of course the speed of the stroke is also a concern when judging "squirt" and "masse" but that's another area entirely. Striking the cue ball accurately will enable us to hit the target with more consistency.A good ball striker is a player with a stroke that can hit an object ball with a high degree of precision over a wide range of speeds and with the full compliment of spins. (at any distance)
As a counter point, some guys swipe the CB so they are less accurate at distance. Or there are those that can only slow roll the ball.
The following technique has helped me with accuracy, maybe it will help others if interested. This technique will also offer you a better understanding of the cue ball and what your stroke will do with the shot. In terms of consistency.
In preparation in shooting a shot stand in back of the shot and envision making it from the standing position. Keep your eyes on the cue ball and object ball as you bend down to get into a comfortable position to site the shot. When you're in the position that you will be shooting from tweak your aim with the target (feel it) it's in this position that you need to focus on your cue ball hit. Put 100% focus into striking the cue ball where you feel it needs to be hit to control the cue ball to where you need to go.(an experienced player will be able to judge the amount of "squirt" or "masse" that the shot will produce.) This is where it gets tricky. You must be able to develop a sense of timing to integrate the cue ball hit with hit with the object ball. Some players have the ability to strike the cue ball accurately as they look at the object ball and then shoot. While other players have to go back in forth from cue ball to object ball, looking at the object ball last. And then there are some players that can look at the cue ball and object ball all at the same time as one picture. This is where you need to develop your own way of integrating the cue ball hit with the target. :focus