If you swing at me while im walking away from you you might miss but i am no better prepared to commit a counteraction now than i would be if your punch made contact.

You can imagine that a punch would have an awfully hard time missing a target unless the target was too far, weather your punch was short or i stepped back im in no position to counter as i must first close that distance. If I physically divert your punch then I must be within striking distance and capable of countering.

There is obviously a mathematical difference between a function missing a point and a point actively deterring a function from intersecting.

This is just another case of, convenience vs complexity. You want it to count for misses to because that would be more convenient. I on the other hand would rather have the complexity of this added element and deal with the minor annoyance, it just doesn't compare to the value i hold for the complexity it brings so i can't mind it.