Galaxy, the weakness in your thinking is that a rolling aircraft to V1, somehow guarantees a flying aircraft at VR..
I can take the wings off a 737 and go up and down the runway accelerating to V1 all day long, but we know it won't fly....
Well I guess the way you were taught is that all you gotta do is roll down the runway and look at the airspeed indicator...when it hits V1..despite the bomb/rpg that just took half your tail off and 9000 ft of runway ahead....your pulling back on the yoke.
I suggest rather then focusing on on balanced field theory and aircraft certification....you do a few take offs in a plane with the airspeed indicator covered up....you might be surprised how some stick and rudder skills can do wonders for your flying.....
I think you have been sitting in a box too much.