Now all of the above just looks like the formula for power and Ohm's Law, which is exactly what it is. This process assumes the tube is perfectly linear, so actual clean output power will be somewhat less than what the above process predicts. Alternatively, for a known amp with known parameters and output power, the actual plate voltage and current swings will need to be bigger to yield the stated output power.
If you designed from scratch without reference to a known-good amp plan, you'd have to make more reference to tube data sheets to verify the tube can do what you want.
So how does Sunn double output power when going from the 200s to the 2000s? B+ stays basically the same, so you know maximum possible plate voltage swing is unchanged. That means we have to double current swing.
You can't change current directly in any electrical circuit; you can only increase voltage or decrease resistance to cause a current increase. Sunn kept voltage the same (B+ is basically-same), so we know they must have reduced resistance. In fact, what they did was halve the OT primary impedance to allow double-current with the same plate voltage swing.
That double-current is probably more than the original output tube pair can handle, because it would have been uneconomical to run them at half-capacity in the 200s. So tubes were doubled to pass the double-current needed.
The PT needs to be able to supply double-current as well, so the high voltage winding in the 2000s would be up-rated to accommodate this as well.
Therefore, we see that without a major topology (or operating class) change, getting more output power with similar B+ voltage requires:
1. Half primary impedance to allow double-current with the given plate voltage swing.
2. Doubling of the same-tube type, or upgrading to a doubly-capable tube type.
3. Doubling of PT high voltage current capacity.
In other amps, there might be a slightly different path for increasing output power, but it will always come down to possible voltage swing due to B+, possible current swing due to OT primary impedance, possible current swing of output tubes, available current output of the PT.
If you made it this far, here's a visual to help remember:
You're a farmer and want to pump more water to irrigate your fields. Your system consists of a water reservoir (PT), pipes (OT primary impedance and tubes) and a pump (B+; plate voltage swing).
To get more water to the fields, you decide to install bigger pipes (either bigger tubes, more tubes, or lower OT primary impedance). But you don't get any more water to the field. Why?
You have bigger pipes to carry more gallons-per-minute, but your pump pushes the same gallons-per-minute it always did. So you get a bigger pump (more B+ voltage). More water, right?
Nope... Now you drain your reservoir faster, and simply don't have enough available water to pump at the higher rate.
So you need all the pieces to pump more water to the field, and more watts to the speaker.