Yes, to the uninitiated, it is known as kiteboarding, but to the enlightened, there are many discernable styles of riding, from freeride, to wave, to freestyle. I suppose what OP is trying to coin a term for is a style within the wave genre where one lives for the ride going
offshore, and not the one heading
towards shore. In other words, exactly the opposite of normal wave riding, where you are there to mainly surf, pretty much using the kite only as a vehicle to get to the next wave, and pressing upwind on the offshore reach. What I mainly do is press upwind on the onshore reach, and blast off the top of the ready-made ocean ramps for lunar boost.