Tom, I'm not sure that I understand your last two posts, but I believe that the implication of what you are saying is that any effects of the AC line fuse on the current flowing through it will be directly and identically reflected in the current that is sent out to the speakers.
If that is what you mean, I would beg to differ. As I said in my post dated 5-31-12:
... the effects of power anomalies on what ultimately goes into the speakers (or at least those effects that are explainable based on generally recognized science) will be greatly reduced by filtering and smoothing that is provided in the power supply, by filtering that is (or at least should be) provided at or near all circuit points where the outputs of the power supply are used, by the power supply rejection ratio of the circuit stages that directly process the signal, and in many components by voltage regulator devices and circuits.
Also, the visual differences that you observed on the RTA do not necessarily imply audible significance, especially if all frequencies are affected equally (for example, if a gain change resulted from a slight difference in the voltage drops across the fuses), and of course depending also on the magnitude of the differences.
Regards,
-- Al