Possibly, considering she's supposed to be from Louisiana, right? Yeah, they rarely, if ever, get any snow down there.
But you're right... I've noticed it seems like a bulk of Seasons Three and Four take place during fall and winter, and some episodes actually make it a focus, like "Buster's Breathless", "The Fright Stuff", "What Scared Sue Ellen", "The Blizzard", "The Rat Who Came to Dinner", among others.
You're right though, I think most TV shows take place during spring or summer, so that way, they don't have to rely on any specifics for a season as far as set decorating or wardrobe is concerned: that's why so many series are filmed in Los Angeles, because of the year-round spring/summer-like weather. Heh, the only exception to the rule is Hogan's Heroes, it was perpetually winter for that entire series.