Hi Friends I apologize for replying only now, yesterday was a NO day (unfortunately)
@ HotBluePlatesA few years ago, I found schematics somewhere for a Class D tube amp
from the way you say it I understand that they are lost and cannot be seen, however it would have only been a technical curiosity
Once you understand how "Class D" works then you'll understand PRR's comment that "tubes are terrible switches, though transistors can be good switches."
OK, now I think to class D as a "sort of PWM" Amp
Instead, look at something like a Fryette Power Station that is a "re-amper."
I didn't know the existance of such unity but, to tell it all, when the problem (of heat) was highlighted a thing I tinked to was a Super Scaler (Kevin O'Connor, KOC, on his books discuss about it and he planned a real one), you can read about it on the TUT Vol.4 Chapter 7, TUT Vol.5 Chapter 15 and Chapter 19
On the page of London Power, here,
https://londonpower.com/super-scaling/, you can read some explanations (also follow links on that page)
Also on the pages of Tubecad the Super Scaler was discussed
The Fryette Power Station remember me a lot a Super Scaler (and an Herzog, because at the input the signal is lowered)

But this will be a way only to transfer the heat to one other chassis instead to don't produce it
Some people also build a small tube amp (or only preamp) and buy an off the shelf Transistor class D Power Section (tremendously powered) but it is not in the spirit of what was thought of with the PSE we are talking about
We can't "bias into Class D." It's a change to the fundamental way an amplifier amplifies. And there's a bunch of support-circuitry that goes with the "different way to amplify."
Now it is clare
@ blackcorvoThe way Class D works in a nutshell is, you switch the power device (transistor, IC, what have you) on-and-off real fast (ideally so fast it's way beyond the audio range), so it passes as much current to the load as possible on that small timeframe while it's on, and the average of time between on and off makes the device not heat up as much as it would when being fully on.
I don't know if is the correct interpretation, but to think to a PWM seems to give me the right understand on what is happening in class D (and to me suffice)
I just don't know if any possible gains in performance could justify the increase in complexity of the circuit.
I agree, the added complexity it doesn't seem at all a problem to be underestimated
@ shooterYou know, I always struggle with math
THANKS to ALLFranco
p.s.:
BTW I have a distant memory of tubes designed to be used as switches, am I wrong or did they also exist for this use (although perhaps surely not suitable for our case of class D amplification)May be 5963 Tubes an example ?