The distinction that matters: resident vs. wandering species
Not every spider found indoors got there the same way. Some species truly are outdoor spiders that occasionally wander in seeking shelter as temperatures drop. But the spiders homeowners most commonly report finding in attics and basements — the American house spider and the long-bodied cellar spider, among others — are indoor-established species. They complete their life cycle indoors, are active in heated structures year-round, and don't disappear or hibernate the way an outdoor insect might.
For those species, "why do they show up in winter" is slightly the wrong question. They didn't show up — they were there in September too. What changes in winter is how often you go into the spaces where they concentrate.

