I wouldn't be opposed to a 3 point system; where a regulation win is worth 3 points and an OT or SO win is only worth 2. I would even say that having an OT win worth 3 and an OT loss worth zero might be a bigger incentive to go for the win. The NHL has shot down this idea before; which is why I came up with an alternative.
And yes, you would have 4 columns. Win, Loss, SO Win and SO Loss. Right now there are also 4 columns, Win, Loss, OTL, and ROW.
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