We live in AZ. Our son saw snow for the first time at BS. The cold made him appreciate home more, but he even stayed in the NE for college. Weather was not a metric that figured into his goals and what he wanted to accomplish. If you can achieve what you want to achieve in multiple places that have significantly different weather then, perhaps, weather might tip the scale. Otherwise, I advise that you purchase clothing appropriate to the climate* at the BS that fits you best and not give it a second thought.
*It is an odd BS phenomenon that, even under blizzard conditions, some students continue to wear shorts, hoodies, boat shoes, flip flops, etc. Per my comment on the other thread about the contents of ChoatieKid’s “High School Crap” box, perhaps I would have found his winterwear wadded up in a similarly labelled box had I searched more diligently. Not sure I’ve ever seen him in winter clothing. Don’t be my kid.