It makes no more sense than a Florida driver being wary of overheating a car made in Detroit. There may actually be some winter weather technical problems that Tesla has yet to resolve, I honestly don't know. But everything in your post is either speculation or a fallacy called argumentum ad populum [1].
If I were to speculate, I'd assume that an electric vehicle would be more reliable than a gas powered one in the winter, not less. Ignition is simpler, there are less moving parts, etc. But it's still speculation, and you can't make an argument from a point of ignorance.