I don't think it does that.
Rather, as a current source, plate current will remain pretty much constant whatever the plate voltage.
Being a very high impedance, in regard of ac circuit analysis, effectively it's not there.
It does have that effect-- the definition of plate resistance is change in current in response to plate voltage, with other factors being constant.
You're correct that pentodes don't exhibit this effect
much. You'll find the plate resistance listed on their datasheets, but it's very high, such as 38k ohms for an EL84. 1v change in plate voltage causes 0.026ma change in plate current.
So, what is the plate resistance of an "unfed" power tube when it's plate voltage (and maybe screen voltage too) is modulated by the surrounding circuitry and not by G1?
Whatever is specified on the datasheet. The plate resistance
is the tube's response to a "signal" at the plate, with the grid held constant.
Plate resistance doesn't depend on frequency like a capacitor or inductor. But keep in mind, plate resistance describes
deviations from the steady state and in this sense, it either doesn't work for DC or has some sort of "offset".
Say plate resistance is 1k ohms. If I raise plate voltage 1v I see +1ma current, if I lower plate voltage 1v I see -1ma current. This is true whether I make that change 1000 times a second or over the course of 10 minutes.
So it works at "any" frequency (maybe not RF but it works at "normal" frequencies and down to DC). But it's not perfect at DC... 1k plate resistance doesn't mean plate current is always 300ma at 300v. Steady state/bias is influenced by grid voltage. You can think of this as a current "offset" on top of the plate resistance, but it's easier to understand plate resistance as a dynamic behavior than try to reconcile it with the other factors that go into bias/steady state behavior.
It does change with circuit configuration, shown on datasheets as different plate resistances for various conditions. This will have a non-linear effect based on signal
amplitude moreso than frequency, but it would also be a pain in the ass to model.
Screens could be a pain to account for. If they see the same signal as the plate, it will lower plate resistance (increase the effect of plate voltage). You can find plate resistance figures for triode-mode operation on datasheets. Ultralinear would be in between. Depending on your screen hookups and whether you're dealing with an opposing tube in push-pull, it could be the opposite signal and would counteract/increase plate resistance.