I used to get that anxiety as well. I think part of it is related to having lived in SNE, where building a true snowpack is challenging and seeing a snowpack getting hammered by rain is heartbreaking. Up here, most of the time a week after a major cutter your snowpack is building back up, trees are covered, and you pretty much forget about it.
As a skier, your point about liquid also matters - especially for those of us who love the glades. Of course, significant cutters can do a lot of damage (I fully expect our glades to close after this weekend), but that too is part of life. Even if they close, chances are they will be back open quite soon