I have the DWS on my daily driver (Subie WRX) and my wife has the P Zero Nero all season on her car. Both can handle light snow duty. They are performance all-seasons so they might not be able to take what a Chicago winter can throw at them.
Both tires are quiet and do light performance duty. Neither have the immediate turn in or grip that a good summer tire provides. The DWS do squeal a bit sooner than the P Zero when pushed in the dry. The DWS are great in the wet.
There is no substitute for a good summer and good winter tire. The P Zero came with the car and I will be switching them to summer tires when they wear out. However, if you are set on getting all-seasons I think the P Zero and DWS are probably two of the best choices.