Changing loads
When you change the amount of powder behind a bullet (assuming all else stays the same) you change the pressure generated when that cartridge is fired. This will change the velocity of the bullet, as well as changing the barrel's vibration.
Now, I'm no ballistician, but on a practical level, it can be demonstrated that each particular gun "likes" a particular bullet velocity. That velocity works best with the barrel's vibration and harmonics, with that bullet.
Change the powder charge, or anything else in the reload recipie, and you change the bullet speed. The gun may or may not shoot more accurately as a result.
You mention using 4.0 or 4.3 grains of powder, which suggests to me that you are reloading a pistol round. With pistol accuracy, so much depends on shooter technique and skill that the change in accuracy may not be apparent. With an accurate rifle and a skilled shooter, however, changing, say, a 50.0 grain powder charge to 50.3 grains would make a noticeable difference.