After the water fills the basin, I have two 6in pipes that leads it down the slope to the storm drain. So none of that water should be refueling my aquifer. There is a constant stream coming out of one of the 6in, its probably only 1/5 full.
My sump pit fills about 3ft before it pumps, and this took about 7min yesterday. Hard to compare against the flow of the catch basin which is flowing constantly. But even before this I had a system using a 3in pipe to drain the pond.
I agree with your suspicion that there's some kind of aquifer around my house, its likely composed of clay too, and retains a lot of water. Draining the aquifer from the top of the hill with the catch basin, should hopefully prevent the aquifer near my house from being recharged as much. But like you said it could take a a season to clear up then.
Ive attached some more pics for clearer view of this setup.