To my mind that would be a bit of wasted effort eagle. As you add fresh tap/source water, some of it will be going right back out and it's the old water and its contents you want to remove, not the new water or -its- contents, right?
The old water contains the potentially excess minerals and the thousands of unidentified organic components, not to mention the three things we monitor (ammonia, nitrite(NO2) and nitrate(NO3).) The fresh tap water is wonderful for its lack of most of these but actually also for its "refresh" of calcium, magnesium and a trail of other trace minerals that are quite important for both the bacteria and for the new environment we are building.
I still have some thoughts about your hose contraption...
~~waterdrop~~