Guys,
For purposes of illustration, lets say that I hold the scope in a rigid fixture, so that it can not move. Then we attach to it a barreled action with the lower rings, and adjust the scope so that the bullet hits exactly where the scope aims at 100 yards. (I know that using a scope for a point of attachment will not work.) Now, with no other change, I lower the barreled action by .210, by substituting taller rings. The scope is still on target, but the barreled action has been moved so that its bore is parallel to its original position, but .210 lower. Since the angle of the barrel has not changed a second round fired will be .210 lower on the target. The trajectory is unchanged. Now at a longer distance, if you start with the scope adjusted so that with the lower rings the bullet impacts precisely where the scope is aimed. and you do the same ring change, the point of impact will still be .210 lower than before, at the new distance.
On the other hand, if the conditions of the problem are changed so that the scope is re zeroed at 100 yards after the ring change. and we consider the down range situation (still zeroed at 100 yards), the point of impact at say 200 yards will be higher with the tall rings than with the short ones. I fact, if you use a good external ballistics program ( I have Quick TARGET.), and play to scope height, going well above any reasonable mounting height that would be practical in the field, you can get to a place where the points of impact for 100 and 200 yards are at the same height with no adjustment. If you don't believe me, try it, before you jump to a conclusion.