The Z is a speed rating, it has nothing to do with being summer only or not. If it's an "all-season" it should have a M+S marking on the sidewall.
True, but generally speaking, there is no z-rated tire that anyone should be using in the winter, unless you're talking about places where "winter" means the temperature drops to the teens. The phrase "all-season" and the M+S marking refer only to the tread-to-void ratio and have nothing to do with the tread pattern or rubber compounds. For all intents and purposes it's negligent to tell someone they can drive on a tire like that in a winter with sub-zero temperatures and ice+snow conditions.
Tell BFG they are being negligent then

. They are claiming this of the KDWS:
"Outstanding traction and handling in dry, wet and snow conditions with the KDWS. The KDWS is a performance tire for drivers who need true all-season capability, including snow, plus the smooth ride and the long wear that major automakers demand."