My 2 cents based on things I have read over the years as well as my own thinking about the paddle stroke:
Use the wing stroke. The wing stroke was actually developed before wing paddles were invented. Paddlers figured out that by letting the blade move sideways (even old wooden euro blades) they went faster. This is because of two causes. First, the “wing” stroke allows involvement of larger muscles of the body more effectively. Second, if the blade is slicing sideways it is always moving into unmoving still water, as opposed to remaining next to the boat, where the water is already in backwards movement (and in turbulent eddies) as a result of the portion of the paddle stroke that has already occurred. These benefits outweigh the downside of the wing stroke which is that it introduces greater yawing force. If you look at old olympic footage from late through from the 70s through the late 80s you can see this evolution in euro blade technique. The wing blade was developed as a way to take advantage of the wing stroke that paddlers had already adopted, rather than the other way around.
Regarding the wing blade itself I am sure there is some benefit from the wing shape via the bernouli effect, but I feel that it is a secondary effect and that any energy expended actively moving the blade sideways would have been better spent pushing the blade down or back. The blade passively moves sideways as a consequence of the shape of the blade and the shape of the body as it moves through its most powerful arc . For most of us, and especially rough water paddlers, I think the larger benefit of a wing blade comes from the stability it offers. The stability is a product of the lip on the outer edge that forces all water to slide off the inner edge. That is a stable system. In a euroblade water slides off both edges in an unstable manner causing paddle wobble.
Current Skis: Nelo Vanquish AIR, Epic V10g4, NK 670 double, NK exrcize, Carbonology Feather, Think Jet, Knysna Sonic X
Former Skis: Epic v10g3, Kai Waa Vega, Epic V12 g2, Epic V12 g1, Epic v10 double, Nelo 550 g2, Fenn Elite S, Custom Kayaks Synergy