Very interesting topic. I would like to see a definate result.
Engines do have intake and exhaust valves open at the same time. Moreso in a race engine. It is called the scavenging effect. When the piston comes up to push out the exhaust gases, the gases move like a slug down the pipe. As the piston gets closer to top dead center, it slows down. The slug is now moving faster than the piston. The camshaft now opens the intake valve. The slug of exhaust moving down the pipe actually pulls the intake charge into the cylinder. In camshaft terms, this is called overlap. The more overlap, the more scavenging, the more horsepower. On a low RPM diesel, I don't think there is much overlap. But, I have not studied diesel engines either, this is just speculation.
Now, if this were possible, picture the air being sucked thru the intake, thru the cylinder, thru the exhaust and past the turbo, making it spin. The spinning turbo now injects an air charge into the intake. When a turbo spins, it increases intake pressure. We all no there is no such thing as a perpetual motor, but the turbo would actually help to spin itself. But, turbos are very inefficient at low rpm's (flow).
Interesting, to say the least.