I think the big problem to solve with a rigid wing is how to make it twist. (The other is how to decrease sail area in strong winds.)
If there was no wind gradient above the sea, so that the wing didn't have to twist, it would probably be used a lot more. Properly built, it should be lighter than a mast of the same stiffness as well, since the profile is wider / has larger bending resistance. Lighter and better aero, would be a simple choice over a mast with sails.
The groupama C-class seems to solve the twist problem by having a normal mast as a backbone, and using an elastic film as skins. So I would maybe call it a semi rigid wing.
https://vimeo.com/76473008