According to wiki, some of the original Thermin modulated the filament current (!) of a diode to control its transconductance and hence volume.
It is interesting to compare the thermionic diode with the semiconductor diode.
The thermionic diode starts to conduct at +0 volt, but in the high current end is suffering from plate resistance.
I converted the am detector of a shortwave radio to full-wave, and it is using 1n4148 s in parallel with 6AV6.
I doubt that it changes the original 6AV6 much, but on the 'scope, the recovered audio has a bit higher level due to the clamping of the 1n4148.