Another way of looking at it is this....
Specific Runway is 10,000 feet long. If your aircraft was quite light (Ferry flight for example) you''ll be airborne in less than 4000 feet. Once you've hit your computed V1, you fly. Now the runway ahead of you in useless, since chopping the power (Most Boeing, Airbus and Douglas) and landing straight ahead is not an option.
Me thinks "Who cares?", since you are already up, even in the most precarious situation from a performance point of view (i.e. engine-out), you are expected
at least not to descend any further; and that "old saying" is pretty much of the single-engine pilots, because for them those little meters you just left behind could prove to be of life and death.
Just my 2 cents. Not to offend you, nor anybody else.
