... power section being class A. ...
What is Class A?
Class A is defined as a device conducting for 360 degrees of the input signal cycle; i.e., it never cuts off.
If the tube never cuts off, then it swings from idle downward a certain amount approaching zero current. You get the most clean power output if the tube swings upward an equal amount towards more current (double-idle), and if the tube idles at 100% dissipation. If the tube swings an equal amount above and below idle, the average tube current is equal to the idle current.
* You
can idle less than 100% dissipation, and swing an equal amount above and below idle, but you'll get less power output.
* You
can swing beyond double-idle current, but average tube current increases along with distortion. If you idle at 100%, the tube redplates as you raise average tube current.
The above never exceeds a power output that is 1/2 of plate dissipation rating, and generally only approaches that.
If you want bigger output power, you need bigger current swings. But we established this will raise average tube current and cause redplating (under driven conditions). You have to let the tube turn off during part of the signal cycle to bring average current and plate dissipation down. Enter Class AB.
Any turn-off of plate current is class AB, but if the tube is off exactly half the time you're operating class B. So that's a lot of potential variation. Most manufacturers eventually pushed for greater outputs by running further towards class B.
If you want more tube current, you need bigger supply voltages. Recalling Ohm's Law, a smaller load impedance will also give bigger current for a given voltage. Amp makers attacked it both ways by lowering load impedance and boosting supply voltage.
Push-Pull ExampleLet's say you're running a 6L6 with 400v on the screen/plate. The tube can only pull its plate down to ~40vdc leaving 360v of swing. The data sheet shows that at 0v on the grid the 6L6 will pass 310mA. The voltage change divided by current change is the load impedance. 360v / 310mA = 1161Ω, but this is what one side sees when the other is shut off. The plate to plate load is 4 times this, or ~4600Ω (you'd use a 4kΩ OT).
* This push-pull setup cannot operate class A because 310mA / 2 = 155mA idle per tube, and 155mA * 400v = 62w per tube.
* Peak output power is peak voltage swing times peak current, 360v * 0.31A = 111.6w
* RMS Power is 1/2 peak power, or 55.8w
If you idled this output stage at 70%, that would still be 52.5mA per tube. However, that is much, much less than 1/2 the peak current (as you'd have with a maximum output power class A condition).
The tubes are happy under full output conditions in spite of the big peak current and voltage swings because the total power input to the plate is reduced by the amount of power transferred though the load to the speaker.
Bottom line, idling cooler plus power transfer to the load keeps the tubes from overheating. The cooler idling forced tube current to cut off some portion of the input cycle.