If you haven’t already, have a look at this thread. The throw is just a function of the apparent area of the reflector or lens and the luminance of the LED.
The standard reflector misses the light directly above the LED, but even though this light is the highest intensity, it comprises only about 25% of the total light emitted from the LED. This might seem unintuitive, but it is just a consequence of geometry; the light at more of an angle is less intense, but there is more of it. So an aspheric light might collect the highest intensity light from the LED, but it is only about 25% of the total light.
So I agree that a proper recoil setup could be better in terms of light collection, but it won’t be as much of an improvement as you might expect.