The current delivered to the load has to flow thru the devices constituting the source. This normally produces a different output voltage than if the load was not present. In technical terms, the output impedance of the source and the load impedance together determine the signal delivered to the load.
That can be a useful way to think about very low impedance sources. But with non-negligible output impedance and cable characteristics, that way of thinking can obscure important effects.
The cable capacitance can load some sources excessively at higher frequency.
Yes. (if it is a typical dynamic microphone)
Sounds like a philosophical question. I would say the power delivered to the load causes things to happen that one hopes were desired effects. Then, anthropomorphically speaking, the input has been understood.
You're welcome.