I don't know why anyone would either.
People might move for a job. I ski bummed in Tahoe after college. I then went to grad school in socal, and now am a yuppie weekender, skiing Mammoth 30-35 days a year and Baldy about 10 days a year. I love being able to surf good waves on summer weekends, and ski sick mountains on winter weekends, even though it takes a lot of driving. I could see living in Seattle, as I could probably get just as many days, or a few more, without much driving.
I went to socal because I went to school in California, and I love it out here, and my friends are here. I am lucky, in that I can live here and still have a great ski season. It's not like living in the mountains, but I am happy I left. The reason I bring all this up, is that I had Tahoe friends who went to school back east, then went to Tahoe to ski bum, then had a choice to make: Do I stay out west and ski bum, do I stay out west, get a real job, and ski weekends while living in a city. Or, do I go back east, where 95% of my college and high school friends live and get a job. For me it was easy, my college experience was in California, so it made sense to stay out here. For my buddies who went to school back east, it was much tougher, The only people they knew out west were Tahoe folks, so they wouldn't know tons of people in san fran or socal. They had a tough choice, go back east and ski lame mountains and get a job where all the their friends are, or get a real job in an environment where they don't know anyone.
That is a very circuitous way of saying that no one goes from the west to the east to ski, but some people might move back east for other reasons.