When you decrease the pedal ratio, you increase the stroke in the M/C. Power brakes systems use less pedal ratio, therefor more stroke at the MC for a given pedal travel.
Same bore M/C going from manual to power sends out more volume for a given pedal travel.
That's what is different.
They say there are no such thing as a stupid question. They say there is always the exception that proves the rule. Don't be the exception.