Wet pavement is only part of the problem.
I have found painted crosswalks very slippery when wet or icy.
Wet leaves are piled along the road edge here. They get churned to a slippery mash by vehicles.
These crushed wet leaves are treacherous.
I like a light tread. My personal choices are 700c schwalbe marathon racer, and 26" schwalbe marathon dureme.
But nothing substitutes for care and attentiveness when paint, leaves, wetness, or ice make the road slippery.