Why would (your body) react specifically to one pace but not another?
Bodies do show specific responses to running at specific speeds. But general conditioning can take place at almost any speed. The reason running within a few seconds per mile (pacewise) of the ventilatory threshold* is cost effective is because most physiological systems (respiration, cardiac output, processing of lactate, and dozens more systems which work together) are invoked at a moderately high level but relaxation is preserved so that a large amount of time can be accumulated working these energy systems.
Not only that, but the nervous system is being trained to orchestrate motor recruitment in a steady and repetitive fashion while all the aforementioned energy systems are experiencing this fairly high but steady state of demand. When the respiratory compensation point is exceeded and hyperventilation ensues, that's when the magic spell of steady effort is broken. Muscle pH decreases and soon the motor units are no longer being recruited in concert. Movements become less efficient.
While it is necessary at times to run at much higher effort levels to race well at faster speeds (basically at every distance from the half marathon down), training in a state of inefficiency can become counterproductive; hence, running at or near the ventilatory threshold (below the state of hyperventilation and struggling) is simply a cost-effective way of amassing the most quality training time. A lot of the adaptations created by running at this effort level could probably be accomplished by running very slowly all the time, too, but it would take much, much longer to get fit and there would be plenty of aspects of fitness that would remain untrained. And of course, it's important to have those slower days and not run at the ventilatory threshold all the time. Those systems do require recovery in order for the body to best adapt, and the impact stress at that pace is usually not repeatable day after day.
One rationale behind interval training follows the same concept - to have a sensible seasonal progression toward workouts which accumulate as much time as possible at fast race paces without sacrificing efficiency to the point of muscular or metabolic breakdown, thereby improving running economy (ability to use the least necessary energy) at those specific race speeds.
* Ventilatory threshold is more precisely defined and is a more reliable marker than lactate threshold, which is nigh impossible to pinpoint.