That makes sense. AWD handling is so much better in winter conditions that I feel it has to make it less likely to crash.
AWD is great at getting a vehicle moving, so long as you aren’t planning on stopping.
Misconceptions like this are why people are lulled into a false sense of security.
Winter / 3MPSF tires are a much bigger factor, but are not similarly enshrined in state law. And all vehicles have all-wheel braking.