You speak as though the two are mutually exclusive. I don't think one precludes the other. I for example can engineer, fly and womanize, all at the same time!
One of my more challenging students was an aeronautical engineer at McDonnell Douglas across the field. He was indeed trying to "fly the book" instead of the airplane. After I had him read Stick and Rudder he improved dramatically and was able to start really communicating with the airplane.
I start with the book, and when the plane doesn't match the book, I try to figure out why.
Okay, so not really "the book" but whatever information I can gather. I credit reading, considering, and understanding the mechanics behind other students' troubles on the AOPA board before I could afford to fly with getting my Private in 42.6 hours. Also, thinking about the physics behind landing is what led to my developing a technique to get decent landings before I could really do it the way everyone else said to do it. (I was not good at detecting butt-sink.)
Haha, that was the first thing I thought of when I started reading this thread! Thanks for posting, Bruce.
In my own experience, as one so afflicted, I'll note that a lot of time was consumed in "I can do as taught only once I know _why_" whereas a normal human might be more inclined toward "I can do as taught". It isn't clear that knowing _why_ was helpful to actually flying the damn plane.
Personally, I feel that "why" is the biggest thing that helps me improve as a pilot. If the plane does something unexpected and I don't know why, how am I going to know when/where it may happen again? I don't necessarily thing about "why why why" all along during a flight, but after a flight I review things in my head and think about the whys until the next time I fly. You may notice I'm constantly either asking for, or giving out, whys here on the board.
Of course, for instructors not used to dealing with us why-mongers, I can be a pain in the ass. But I can't understand people who hear "just do this" and blindly accept it. If someone tells you to "just do that" instead, how do you choose which technique is better?
This is sort of what I was getting at. While any sufficiently large subpopulation will obviously contain both good and bad pilots, I was wondering to what extent the need to understand the "whys" can get in the way of the "hows", and how to mitigate that.
For example, I spent an afternoon with a coworker (on a whiteboard, naturally) trying to work backwards from glideslope angles and airspeeds to figure out the legs of the traffic pattern. At the end of the day, we agreed that the math was bunk and that we "just did it" when flying. Nonetheless, I wasn't satisfied until I had arrived at that conclusion on my own.
Nothing wrong with doing that, assuming you have the time to "waste." (I don't think it's a waste.) You may not know all the answers at this point, but being inquisitive is what improving as a pilot is all about. Try to spend your time in the plane flying, but do spend time after each flight revisiting anything that didn't feel right or make sense to you in the air. In the end, you'll have an excellent understanding of what's going on, and you can merge that with your senses and actions in the plane.