I see a lot of talk using 455khz IF transformers when an actual Theremax uses a 796 kHz I believe. Also the sine wave frequency in the graphic above seems closer to the 796 kHz. I have never modeled any circuits so I may be missing something. I use the plug & play method of parts with the minimal necessary math. Then sniff for smoke!
The 42IF201 to ~203 have an internal 180pF capacitor in parallel to the primary winding which sets the resonant frequency around 455kHz.
But the 42IF1xx series as used in the Theremax have no internal capacitor, so that the circuit designer is free to choose the resonant frequency by adding an external capacitor. In the theremax pitch oscillators 100pF are used, and 68pF for the volume oscillators, if I remember well.