| Kurt Scholz wrote: |
| ranged weapons from horseback have short range of aimed hits and the deep formation was developed to deal with more shallow formations armed with lances. |
But the pistol was not a ranged weapon! The manuals and accounts we know of that treat with its use--Henry IV's injunction prior to one of his battles (Ivry?), Wallhausen's treatise, and the like--all say that the pistol is to be fired as close as possible to the enemy, definitely well within the range of hand-to-hand weapons (and if we take the most extreme recommendation literally--that is, sticking the muzzle of the pistol right against the armour of the intended target--it's a much shorter range than most other hand-to-hand weapons).
In contrast, although horse archery is also preferably performed at the shortest range possible, the most extreme recommendation we have only calls for the archer to get just beyond the reach of the enemy's hand-to-hand weapons (Qi Jiguang, as translated by Stephen Selby: "If you are worried about being at close quarters or the enemy’s blades are nearly upon you: this way each shot will be rewarded ten-fold.") and certainly permits the archers to shoot at somewhat longer ranges if he didn't have the balls to get that close!