Blowfish
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Even looking at shot differential (at a /60 basis to make up for the difference in games played), the Leafs really don't fare too badly and are actually remarkably stable.
Shot differential/60 Rank:
Leafs: 52.70 (9th in the NHL)
Points % in the NHL:
Leafs: .656 (9th in the NHL)
That low shooting% belies their actual level of play though as the Leafs rank higher up when it comes to scoring chance differential.
Scoring Chance differential/60 rank:
Leafs: 56.91 (1st in the NHL)
Expected Goals differential/60 rank:
Leafs: 55.74 (1st in the NHL)
They have been hitting the net more though and their recent record looks completely sustainable given their underlying numbers.
I think the Jets have the sketchiest underlying stats-to-win ratio but they have been playing that game for a few years now so it's no surprise.
With Tampa and Boston playing the fewest games the stats are somewhat misleading.