It's pretty inaccurate. Yes, life was hard in many ways -- brutally, sometimes lethally so if you took an otherwise minor injury by today's standards due to infection and less effective herbal medicines.
But they weren't freezing in their huts outside of locations where the temperature was extreme, and the content is misleading in many other ways.
I don't mind some dramatization to keep things interesting, but because these are presented as a realistic analysis of their topics, considering them entertainment that does a decent but not exacting job of being historically accurate is the safer bet.