Well HBP I would have to say that you certainly know more about amps that I do so I will bow to your knowledge. What I do know is that when I changed tubes in the amp that I built I had to re-bias each time. ( I was biasing at 0.9PaMax.)
You're not
wrong but we're working from different assumptions.
The OP has a 5F2A and wants to plug in any common octal tube. He didn't say anything about swapping his (made for 6V6) PT (for more B+ current availability) and OT (for lower primary Z with a bigger tube), which is why PRR said:
... The big bottles WILL run at the lower 6V6 condition. Power output is unchanged (maybe 5% higher due to less loss in the fat bottle). Re-engineering to get the MOST out of 6L6 or EL34 pretty much means new PT and OT (and now no-good for 6V6). ...
Since I'm assuming the PT and OT remain the same, then I arrive at PRR's conclusion that power output will largely stay the same. That's because the relatively-high 6V6-suited primary impedance won't let additional signal plate current flow for the unchanged B+ voltage (which itself implies a maximum possible signal plate voltage swing). If you want more-power but at same B+ voltage, then along with the bigger bottle you need to reduce OT primary impedance to allow "more current" * "same volts" = "more power".
So my follow-on assumption given that scenario is that it's irrelevant if you bias the new tube for max dissipation at idle. B+
2/Primary Z = Same possible power output.
I would be interested in knowing if after you adjusted each tube to 0.9PaMax whether you came up with very-different total cathode resistance and resulting bias voltage, or not.
The reliance on a single, fixed value of cathode resistance is why you can plug any common octal tube into a THD Univalve. No magic. The new tube may settle in at a different idle current with the screen voltage and cathode resistance present. If that results in more idle current for the bigger tube, then more-current flows through the same-value cathode resistor resulting in more-voltage across the cathode resistor, or more bias. That more-bias-voltage condition also means the new, bigger tube would require a larger drive signal before the grid-to-cathode voltage is driven momentarily to 0v and into clipping.
That's part of the reason the bigger tube seems cleaner (maybe a hair louder) than the smaller tube in the exact same, unchanged circuit. Additionally, the bigger tube is almost guaranteed to have much greater Gm than the 6V6, which can help it "feel more powerful" even though measured output power is likely to increase very little if at all.