Interesting! Unfortunately I'm not into radio or electronics beyond resoldering bad caps - so I can't really understand the principle of this. Maybe you could enlighten me, can we surround this oscillator with tinfoil/Faraday cage or something so it wouldn't radiate interference?
Emission is frequently conducted through the components backward to the input antenna and transmitted. In this case a Faraday cage would not help.
Conducted/radiated local oscillator radiation can be substantially suppressed if this is a design criterion.