Quack, raising the comb (adding pad) forces you to look at your bead "up-ramp" instead of straight down the top of the rib. The effect is a higher pattern. Trap guns are often designed to look up-ramp.
This pattern issue is exactly why many serious competitive shooters opt for fully adjustable rear stocks. They can move the pattern any way they want simply by adjusting the comb's height and by adding "cast-off", or "cast-on" (moving the rear stock left, right, or at angles).
Most of us don't have adjustable stocks so we are forced to make adjustments like I described in my prior reply. If after all your efforts, you don't resolve the issue to your satisfaction, you may be forced to try another gun as none shoot exactly the same for every individual shooter.