> Dialling down the amp actually doesn't limit the amp itself. It only raises the input needed to push it to full output.
Looking at this non-musically, from a tech perspective It's important not to confuse the function of an input sensitivity control with that of a volume control.
It's also important not to confuse the gain of the amplifier with it's power output.
Will's point is true -- that the gain of a closed NFB loop won't be changing. OTOH the function of a "volume" control on an amp depends entirely upon where it's been placed in the circuit. They typically work by shunting a variable portion of the input signal to ground. Shunt enough signal to ground and then you aren't ever going to drive the amp to full output, even though the closed loop gain may not be changing. Throw away enough signal and you're never going to be able to drive the amp to it's full power output, regardless of how high an input signal you might supply:
Throw away enough input signal by shunting it to ground will result in the need for an an infinite level of input signal to push the amp to full output. Obviously, that can never happen, because there is a limit to how large an input signal can be before it will overdrive / clip the input stage of the power amp. Clipping the input stage will happen long before the amp ever gets driven to full power by your high level input signal. If you turn down the power amp to the point that you have to overdrive the input stage then the gain of your 1kW power amp is accurately reproducing a clipped input signal. What's the point in that?
If you have a 1kW amp that never gets the throttle opened beyond 12:00, then it's never going to deliver 1kW. You might as well have bought a smaller amp.
If your amp has a noise problem that's a separate issue. A properly functioning power amp should have a low noise floor and can be run full-open without producing a disproportionate amount noise. (As an example of this, many HiFi amps don't even have volume controls, they run flat-out at all times and they rely entirely upon the level of input signal coming into the amp to determine their power output. That, in turn, is defined by the preamp's volume control.) Similarly, a properly functioning and properly configured set of separate components should maintain a high SNR so that volume adjustments at the last amplification stage in the signal chain won't need to be relied upon as a noise gate.