In a don quixotesque attempt I'd like to turn this perception around: the AC is 100% in the signal path - more so that the actual low-level signal that gets amplified, and I think I found the simple words to clarify this.No, that is not correct. The main thing you are not realizing is that the circuit stages which provide amplification have a property known as Power Supply Rejection Ratio (PSRR), which (assuming reasonably competent design) results in the amount of noise appearing at the outputs of those stages being GREATLY less than the amount of noise which may be present on the DC power being supplied to them.
The low-level signal is actually only modulating the high-voltage (high-intensity) signal produced by the transformer. Those electrons from the transformer are the actual electrons we "hear". The low-level signal is simply lost in translation. In a simple example, a 0.1V peak-to-peak sine signal gets amplified (say) 10x by a 10 V continuous (transformed) DC. The output is (say) a 1V sinusoid oscillating back and forth in time. If the 10V continuous is NOT actually exactly 10V (but is actually has noise) - then the noise will directly reappear "riding" on the 1V output.
Also, of course, in the process of converting AC to DC the component's power supply itself will greatly reduce noise that is present on the incoming AC, as will filtering and "decoupling" capacitors that are normally provided at numerous locations elsewhere in the design.
IMO it is a misleading oversimplification to consider the AC power provided to a component as being in the signal path, while at the same time it would be incorrect to view AC power as not being able to affect the signal path.
Regards,
-- Al