Random thought -
It didn't snow much last winter where I am (NJ), and this year it finally did. When it came to shoveling snow, I did better because I had two entire years of leg training and cardiovascular training via riding the bike.
Unfortunately, the rest of my muscles were not so well trained.
I guess the takeaway, especially if you aren't a racer, is to put some thought into training the rest of your body. Biking is great, but by itself it can't possibly get you to full body fitness.