No. You want pressure on ice. I can do 65mph on a sheet of ice in my 80,000 pound truck and probably still steer and stop twice as well as you can in your 5000 pound car, because I have more pressure pushing me into the ice. If I lock my wheels we're still gonna have a problem, but I will say that my truck handles a lot better on ice than my car.

With bald tires, you don't have any tread putting pressure into the ice, you're spreading the little weight you have over a bigger surface area, basically turning your tire into a ski.

The other thing to consider is that a large part of your tire tread's job is water evacuation. Treads are designed not to hydroplane. Hydroplaning occurs when water builds up under and in front of your tire and forms a barrier between the tire and the road surface. If you have shitty tread (due to design or excessive wear), the water will have nowhere to go and will build up and cause hydroplaning.

Generally, if there's ice, there's also snow and water. If you have no tread to help manage the snow and water and move it out of the way, you're going to hydroplane much easier, which removes the already miniscule amount of traction you may have.

When I said this guy's accident was caused due to shitty tires, I'm thinking they were bald which caused him to hydroplane. I'd almost rather drive on ice with good tires than drive anywhere with bald tires.