If anyone's interested, below is the full schematic of my amp as built
Leo ... was trying to get them to sound cleaner ... If you make it three preamp triodes before the cathodyne, you will get even more distortion - which may well be your goal YMMV. (If you put a pentode in there - like you have in your schematic - even more distortion)
I do like this amp because it slips so smoothly into distortion as I turn up the Volume past 4-5. If that's due to the pentode topology, more power to it.

The design is 95% stock Bell&Howell projector amp. I changed the originsal Tone circuit, to be frank, just because I couldn't understand it at the time. Not sure I do do now, beyond it being a series of RC high-pass and low-pass filters to, I suspect, deal with a rather harsh operating environment inside the projector. I know some guitarists revere the tone of the unmolested B&H and I sort of regret my noobish butchery. But I'm happy with the result.
With the original arrangement you get treble cut and boost (if the vol pot is not at maximum). But with your arrangement you only get treble cut, and also volume loss, so it's a less versatile configuration.
So--turning up the volume sends less and less signal through the tone pot, and send more signal to the grid of V2a. I'd guess this also sends less signal through the Tone pot for filtering. So, in the standard 5E3 Deluxe, higher volume also comes with a lowered ability to control tone.
Only one consideration
A pentode has more gain than a triode but the signal loss Is higher if a pentode Is followed by a Tone Control than what happen to a triode
Franco
Why is that? I think others here alluded to that also.
I like your schematic, with that interesting volume/tone arrangement. Are the extra caps on the volume and tone pots put there to provide a "bright" option, like Fender did? Only not on a switch, but controlled by a pot?
Everyone, thanks for all the discussion. I've learned a few things.