Years ago to get a discount on motorcycle insurance (or maybe just to get the insurance at all) I had to take a motorcycling safety course. They spent a lot of time on countersteering on curves - a lot of motorcycling accidents that don't involve cars are when the motorcyclist enters a curve at too high a speed, panics and steers into the curve at too high a speed. They even said "Those of you who do a lot of bicycling on hills will have an easier time because you are already doing this on downhills even if you don't know it."