@ tompagan123: "I assume that the input voltage continues to increase at every successive stage."
As shooter says, the gain in signal can be attenuated to deliver a large or a small input signal to the next gain stage, at the choice of the designer (within the operating parameters of the tube). A 12ax7 has an operating gain factor of about 60. 1V in becomes 60V out; then 360V; then 2160V!!! Also, a 12ax7 wants to see a max of only about a 2V input (4V peak -to- peak). Clearly, attenuation of output signal is required.
@ tompagan123: "Wouldn't it be cool to be able to scale the plate voltage (headroom) at each stage?"
The voltage is always scaled at each stage. That is, the design of the Power Supply is pre-planned to deliver a specific Supply Voltage at each stage. Next comes the Loadline. This is determined by the value of the plate resistor in conjunction with the current draw of the tube. This sets the Plate Voltage. The Loadline is plotted as a straight, slanted line across the tube chart. Then an Operating Point point must be selected on the Loadline. Bias must be set to achieve the Operating Point. As AC signal voltage swings, there may be totally clean headroom; or compression and saturation; or cut-off. All this is pre-planned scientifically.
@ shooter: "I do my 'scaling ' at the grid with voltage dividers, not sure what the masses do." Adjusting the amount of swing of the signal voltage at the tube's input is good; but, again, it's only one factor in the operation of the tube.
So, you can change: the Supply Voltage; plate resistor value & plate voltage; bias & operating point; and/or input signal strength. All of these are "co-dependent".