[Joseph Davis]

I am sorry, but I do not see how this would create any amount of gain, either FE or VE?

With reed valves the "compression" cylinders would create something less than twice their normal four-stroke displacement, and the actual mass of that displacement would net effectively less than indicated. The once-handled intake charge suffers thermal and flow losses from the "compression" cylinders so it is thinner and contains less air mass. You make less power than if the engine was kept stock, since less than 2 time 1/2 the engine does not equal 1.

Forced induction creates a higher thermal load, requiring a richer mixture at WOT to deal with combustion temperatures. See also: required ignition retard under boost. The system dynamics are awkward, wasteful, and not given to efficiency. FI is a power adder that increases VE at the expense of consuming more fuel; it is not an efficiency device.