I do this as well. For one, I use a fairly long bridge, at least 11" or 12" from the tip to my bridge finger. I like feeling the cloth because in my mind it registers exactly where the bottom of the cue ball is. Then when I stroke I adjust to the spot I always hit, which is very low on the cueball.
There is a parallel in golf. If you take a golf ball and mark the back alignment with a tee, then hit it with an iron, most mid handicap players will hit the grass at least a few inches before the ball, without even realizing they do this. Many average players are surprised to find that their divot starts six inches or more before the ball is even touched. They invaribly ground the club and put weight on it as they are setting up. Pro golfers, however, hover the head of the club above the grass and catch the ball cleanly before the grass is struck. In fact, a golf pro divot starts after the ball position.
Why is this important to pool? Because we don't necessarily realize that we may not be hitting the spot we are aiming at or even think we are hitting. I believe that just as your brain adjusts to a cue's squirt on a learning curve, it adjusts to the perception of tip contact as well.
Chris