Treaded car tires are said to be better at avoiding hydroplaning than smooth tires (slicks) in the rain. In particular, directional treads are thought to be the best.
The following is an example of that claim:
Directional tread designs (sometimes called Unidirectional tread designs) are frequently used on tires intended to better resist hydroplaning. Their multiple tread grooves are aligned in a repeating "V" shape to increase the tire’s ability to channel water from between the tire’s footprint and the road. Somewhat like the vanes of a water pump continually pushing water in one direction through the engine, the grooves of a directional tire are designed to push water in one direction through the tire (forward on an angle to the sides). Directional tread designs are especially helpful in increasing hydroplaning resistance when relatively wide Plus Two, Plus Three or Plus Four tire and wheel applications result in fitting a much wider tire to a vehicle than its Original Equipment size.
Note that there is a difference between directional tires and asymmetric tires.
Do directional tires (not asymmetric tires) give measurably better performance in the rain?
If you mount them with a contrary rotation, does it matter?