You got some answers about visibility and safety, but let me add some details about the tires.
Wet tires are meant for conditions where it's absolutely pouring down. They can disperse 85 liters (~22 gallons) of water at 300 km/h (~186 m/h) per second per tyre. That's a crazy amount of water, and conditions aren't bad enough usually to warrant this.
And then if it is warranted, you can ask yourself whether it's still safe due to visibility and low grip due to cold tyres.
Intermediates can displace about half of the water at 300 km/h per tyre, and this covers it most of the times.