Wake can mean two things. I think you're confusing disturbance of the water that it passed through with travelling waves that appear as ripples on the water surface in the case of boats. Submarines don't generate the latter type of wake. Of course they do consume
some energy. They're not perpetual motion machines. That some energy goes into the former type of wake.
The surface of the water allows a unique mode of energy transfer (surface waves) which doesn't exist without a surface. Underwater, energy can still be transmitted by sound, but that's not the same mechanism as surface waves.
I'm skeptical that picture is a photo since it doesn't have blueing and darkening with distance. Maybe it's been doctored or is a small scale or something unnatural.