It takes a fairly serious winter storm to significantly impact Amtrak operations, but those types of storms do in fact happen every winter. Just keep in mind those
same storms generally foul up the airlines...though with the airlines you sometimes have the option of being re-routed around a storm...rarely an option on Amtrak.
Speaking of the EB specifically, one December I was booked on it from PDX to MSP and the train was canceled 2 days in a row due to blizzard conditions in eastern
Washington...I was able to buy a last-minute plane ticket, ironically enough, for less than the price of the train ticket. But other times I've taken the EB during winter with
zero problems. Like many things, it's a case of buy your ticket, take your chance.