Since I am not an Analog expert, I may be missing your point.
But only to connect analog routing, we could draw schematic like
But in my understanding, ADC can't measure current directly,
we may need to connect resistors of "known" value to each pins
so that we can calculate the current from the voltage.
And adding another idea sketch, ADC also could have multiple input.
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There is a restriction in sequencing the Amux components. So you cannot connect them in series. You can try to clone or buffer the common signal to avoid this problem as specified. To answer your second question, Amux can act as a de-multiplexer too.