The tighter ROT makes more resistence in the barrel, longer barrel time for the PRB, and you burn more powder in the barrel. The slower ROT allows the ball to move out easier, and you will be burning more powder outside the muzzle, and hence have a bigger sound when the gun is fired. The sound you hear is expanding gases pushing the air away, and then the air coming back in to fill the void. The bigger the amount of gas that expands outside the muzzle, the louder the noise. It is the same principle for muzzle brakes, and silencers, for BP and smokeless.
The Slower rate of twist allows you to shoot ROUND Ball loads without much concern about how much powder you pour down the barrel. At short range they are going to hit the same POI even if you are off by 5 grains one way or another. The Faster ROT is designed to allow you to shoot conical bullets, sabots, and modern, copper Jacketed Pistol bullets. With the Conicals, Sabots and pistol bullets, you increase the friction of the projectile to the bore, and with the fast ROT you also increase the barrel time for the projectile. All this allows for burning more powder, which also produces more recoil forces for your shoulder. Remember to add half the weight of the powder charge to the total weight of the sabot, and bullet, when calculating recoil, as BP does not detonate like Smokeless, but burns progressively, which means that part of the powder is being pushed down the barrel with the projectile. What every goes forward, produces and equal and opposite reaction( force). Hence more recoil. When someone tries to make a super Sharpes buffalo rifle out of a .50 or .54 cal. fast twist, short barreled rifle with one of those actions we don't discuss here. those large powder charge do become a problem. When reading those charts, pay particular attention to the differences noted for the guns and loads. Otherwise you might think you are driving a sports car, when instead you are stepping into the cab of a Semi.