Hello Tim,
I have not seen a screen grid connection to a tap of the output transformer in any of them. Probably I didn't get to see the Rolls Royce class of tube amps in those days.
It is likely that they did that. Although I believe Hammond had the electronics module designed by an outside contract firm.
I remember my teenage days when it was customary to pack speakers with bales of damping materials. Then you needed hundreds of watts to drive them but luckily there was that old cheap work horse, the 2N3055. I did prefer tubes in those days. More oompf. The meanest tube amp delivered around 700-800 watts, mostly depending of how much the mains circuit breaker could stomach. One strong twang on the electric guitar and the lights went out.
The real freaks built Klipsch horns. But that required access to precision wood working tools which none of us had.
Regards, Joerg