With the game being as uncompetitive as it is, and having matches where even the most lopsided matches can be taken to overtime on such a regular basis, we should never have a 3-2-1-0 point system. Otherwise we'd have bunch of underdog teams stealing singular points from the top teams just by placing a bus in front of their net through out regulation and going for harpoon attacks. It could also result into a situation in which the better teams would have to go for all out attack to secure full 3 points after playing a very frustrating even game, just to get downed to 0 points due to last minute bounces and other cheesy plays.
If we want to encourage teams to be active and play as aggressively through out the game as they would in the first period, we'd have to consider 2-0 point system in which the winner gets 2 points and loser gets 0 despite whether the game is decided in regulation or OT. Anyhow, there would be certain faults with this system as well.