Elegant design, impressive aerodynamic performance, Tom!
Wondering if, for record purposes, a version without vanes below the rotor would spin longer? By smoothing the rotor undersurface, that would likely reduce aerodynamic braking torque on the rotor between blows.
However, that would also narrow your turbine "blades". The net effect of narrowing the blades on the accelerating torque due to blowing is harder to predict but could well be favorable.
For example, when it comes to wind turbine blades, narrower blades increasingly outperform wider ones at tip speed ratios (TSRs) above 3 to 4. In that aerodynamic regime, it's also better for blades to taper tipward, as yours already do.
TSR == (undisturbed upstream air speed) / (linear speed of blade tips) = U / W R,
where W is rotor angular speed in rad/sec, and R is blade tip radius. A similar scaling probably applies to your tops.