Electrodynamics question- Can the electric field from one charged plane be felt through another charged plane?

At some point, as you power up the positive plate, electrons abandon the negative plate for the positive. And in order to maintain electrons on the negative plate, you have to keep pumping charge into it?

So it’s not really a static problem, but a dynamic one? And there is some large unnamed source of electrons charging up the negative plate.

Seems to me this is two different problems – one below the threshold of electron exchange between the two (I’m guessing there would be no charge perceived by the observer) and the other when electron exchange is happening, in which case (again guessing) It would depend on the relative strengths of the three objects – the two planes and the charging device.

Since we are far enough away from both plates that invoerse square rule does not apply, can’t we simplify the problem to be a single plate with the charge being the sum of the two?
if plate A is 1 coulomb and plate B is -1 coulomb. If you are sufficiently far away I’d expect the field to be zero.
Hmm…Let’s make one plate oscillate. Does it still hold true? I’m thinking yes.