I'm not quite sure about that "A kayak that is not being paddled will move sideways with the wind". Every-time I sat in the wind having conversations, the entire group gradually turns into he wind.
If you put a long stick in the water (on a lake), it will gradually align itself towards the wind. The chances of having the wind direction dead on at a 90 degree angle to the vessel is highly improbable. We're a lot like weather vanes that turn into the wind. If you take the weather vane and move the axle back it will turn away from the wind, like the lee cocking that can happen if a skeg is dropped to deep and creates a pivot point. The forward motion just enhances all of this and the sophisticated water pressure explanations are all true but the simple fact is we turn into the wind like a rooster weather vane on a barn. Our hulls are not symmetrical nor is the rocker. Our pivot points are behind center.
The Connyak BBS