yes, since the circuit is an oscillator at the received frequency. one of the reasons this circuit is no longer commercially produced (and hasn't been, except in the form of hobbyist circuits in many years), is that radiation from the oscillator is coupled back into the antenna. back in the 30's, Great Britain instituted a "receiver tax", and a big splash was made in their media about direction finder vans that could detect "unlicensed receivers", because at the time most receivers were of this. or similar type. the truth was, it was just media hype (the "searches and arrests" made on film were completely bogus), but the fact remains that regen or super-regen receivers do radiate.... even superhet receivers radiate at the local oscillator's frequency (but not on the same frequency that the receiver is tuned to), but proper design usually completely isolates this from the antenna... this was one of the reasons for most receiver designs having at least one RF amp stage between the antenna and mixer in superhet radios.