And as the pump will be on the other side of the filters, exactly how do you think that will help. It will make the delay until the pump cuts in even longer. You will get an initial spurt of water without the filter restriction, but it will soon drop to what you have now, then it will say the same until you turn the tap off, so the new accumulator recharges. Open the tap and the initial spurt, dropping to what you have now will just repeat.
I suppose that if you fitted an enormous second accumulator, it could supply a lot more water until the pressure dropped enough for the pump to cut in, but you have mentioned space considerations. So if you don't have room for a second set of filters, I can't see you have room for a giant accumulator.