Re question 1 , the circuit uses a "flying capacitor" that basically transfers buckets of charge across. If we look at the circuit below, I have added a 6v , 1A light bulb , so if we apply 6v on the left hand terminals, the capacitor will be charged to 6v while facing left; if we then toggle the capacitor back and forth, it is discharged at say 2A into the light bulb for 2us, then back to the left to be charged at 2A for 2uS, so what your 6V source on the left "sees" is a 2A load for 50% of the time or 1A on average, so 6v x 1A = 6w, if you double the source voltage, you get double the current, hence it looks "resistive"

In the 1950's - 1970's mechanical vibrators and capacitors where used to converting a floating differential source to a single ended signal. You could also use "choppers" to convert floating DC into single ended AC, amplify that, and convert back to DC, back in the days of valves where DC performance was very poor.