I think that would be even worse. A team shouldn't be punished with zero points for losing a shootout. It's one thing to decide Olympic elimination games that way, but not regular season games.
It would be too harsh.
And there's nothing wrong with ties. It just means neither team was good enough to win the game in regulation or in OT. Hence, neither gets two points. Basically, each game should have a maximum of two points on the line.
The point is to eliminate three point games and to make a skills competition not mean so much.