Why should it?
It's not like they rely on the water to make snow...
The dust in the air accelerates snow melt and makes the snowpack less stable.
Water in large lakes also juices storms (e.g. lake effect) and without that water in abundance the storms are less prodigious.
And with less overall snowpack the overall air temperature is warmer, meaning fewer moneymaker storms, more "immature snow," etc.
And yes, the aquifers used to source snowmaking water can - and will - dry up in many places as the battle for water gets more cutthroat. Sure, they pull from the old mine tunnels, but that water will be sold for culinary and agricultural use in the near future. It will need to be given all the people fleeing to the mountain country.
The biggest issue right now is that the weather pattern assumptions about El Niño and La Niña are no longer what they once were. Ocean currents and temperatures are different and not likely to revert to their previous norms.
As I hear too often: welcome to the coldest summer of the rest of your life (i.e. they're just going to get warmer). And that will certainly affect winter, as well.
(Note that I studied meteorology and climate science in college and have kept up on the subject since - not an expert by a long shot but also not ill informed.)
Regarding my own plans:
I'm forced to drive to my coaching job as there's no transit option from DC to south-central PA (or the other PA resorts where races take place). I am looking to get a more fuel efficient car, but I'm also looking at air quality that's plummeting (and likely exponentially after the WV v. EPA decision). Yes, I'll do a vacation in Utah this winter (likely not the Gathering given my coaching schedule) as I have an Ikon pass as well as my Epic. But it'll be a "fly there and use UTA bus" situation for getting around.
Going forward? Probably less travel to try and reduce my climate impact. Probably ditch the car if I can. I bike and walk almost everywhere, as-is, and can situationally rent a car or carpool for places further afield.
As I've said on other threads: there's a blind assumption of the permanent primacy of the personal motor car. And while it
is necessary in many rural areas (especially in the U.S.) it's not a sustainable solution if we wish to continue having a habitable planet.
Just my $0.14, adjusted for inflation.