Correct...when looking at it from that aspect it makes sense but there are a ton of other factors to consider. Speaking from a theoretic/fundamental standpoint a warming Earth with a reduced equator-poleward temperature gradient would result in a decreased jet and would result in less conducive environments for cyclogenesis...which could be a big problem for us. Your point, however, would ring very true with tropical systems and holds merit to the notion that we will see more winter storms produce larger snow totals.