This. It's not that it's a Centurion (although, riding one of those in the winter is like buying a '69 Hurst/Olds for a winter beater), it's that you don't have space for wider tires. I would never use a bike with anything under 28 or 32c tires. Having ridden in the winter, I know that morning commutes will often have snow, slush freezes to ice, and you can find ice, sand, salt, and hard snow chunks on the side of the road all day long. With 23-25c tires, you're going to lose a lot of control.

Ever notice how it's harder to control a rear brake slide on a beach cruiser or mountain bike than on a road bike? Even when sliding, you have grip. With super narrow tires, you have a lot less than if you were to go with 32's or so. On that centurion, 32's would probably be rubbing the brake bridges.