To argue that one weapon system alone can win battles is a silly argument. If there is one thing that blitzkrieg theory teaches us, its that its an all arms affair. The correct answer to this whole question of which tank is better, is to look at the roles they fulfilled. and this argument that the tiger is, or is not an offensive tank is a nonsense as well
Tiger I and II were neither offensive or defensive tanks, they were support tanks. In an ideal battle they fulfilled this type of role....the enemy attacks your defensive position, you decimate him with your heavy tanks, then countersttack with your lighter vehicles, (Mks IV and V), with the Mk Vs leading the arrowhead formations. The Tigers are still in support, sitting, preferably from some hilltop vantage point, just blasting anything that tries to move.
What is true is that the Tiger was a terrible close in fighting tank. It was simply too slow, turret traverse rate was horrible, and no tank is completely invulnerable from all angles. What it excels at is the support role, sitting back at a distance and picking off targets at range.
Germans were never able to concentrate enough armour , AND provide the air support in anything like proper quantities, to pull this type of arrangement properly. Thank god for air superiority