Radios Reflector vs. LED Reflector
I don't think you would be able to use the Radios reflector. What actually emits LED light is tiny little area much smaller than an incandescent bulb and it emits that light away from the reflector and not towards it. As I mentioned in my original discussion at the top of this thread, one can use LED bulbs in the old Radios headlight. It screws right in, but the light emitting part doesn't utilize the reflector. The light scatters everywhere and isn't focused like the modern LED headlight designs. People will see you coming, but you may not be able to see where you are going.
The LED itself is in the top of the Herrmans light and it shines down onto the reflector, which is at about a 45 degree angle to the horizontal plane. it is a very different way to direct the light when compared to an incandescent headlight. By making the Herrmans housing fit inside the Radios housing, we are utilizing all the modern design elements. In addition to better lighting, the Hermans light and other brands have a capacitor that keeps the headlight shining when you stop at an intersection/stop light, which is a nice feature.