Re: Balanced/Inbalanced field length
Kenparry, I agree with most of what you have written, but I am of the impression that you may indeed "unbalance" the runway by changing speeds.
You have a balanced T/O when TOD=ASD. If your GW is not runway limited you may alter this TOD/ASD relationship by changing the speeds (of course staying within the "band" of safe speeds). Increasing V1 will decrease the TOD because you will have a higher speed when the engine fails, but ASD will increase because you need more runway to decellarate from the higher V1.
As I see it, one will rarely have a balanced T/O, and thus one will have a range/band of speeds applicable for the current weight and conditions, and the RTOW's or the computer gives us the speeds for the optimum relationship between TOD/ASD by "balancing" the T/O as much as possible.