Several answers to your question.
First, the most basic one: reaction you wrote makes no sense, pH of the solution containing a salt of a strong acid and strong base is neutral.
Second, slightly more complicated: neither KOH nor HNO3 is as strong as it is often assumed. Some slight differences due to hydrolysis can be observed, but they are typically negligible.
Third: real situation is even more complicated, as pH is a function of the ionic strength of the solution, and every ion introduced, even if it is just a spectator, changes pH slightly.