Sometimes it does, yes. I’ve had a few matches where the opponent got no turns at all, as the Paladin finished off their last card. As you can imagine, though, matches like that take a long time comparatively to some other builds. However, with kingdom upgrades and traits, I usually end up with 18 attack on the Templar so he’s not terrible at dealing skull damage as I just loop through the enemy.
Really the key is to setup Paladin to take out the most dangerous opponent, almost always either Maw or BD. After that’s done, the match is over. In about 1 out of 100 matches, things just plain don’t line up and one of them gets their spell off. If that happens, the match is also over, but not usually in my favor.