I can empathize with this guy who doesn't want a coudy tank, but there's got to be a better solution than breaking down a tank. There are folks out there who use pure laterite, sterilized potting soil, and other fine substrates. When I rinsed my flourite, I tried keeping as much as the fine sediment while getting rid of the fine dust. It is this fine sediment that will probably really benefit the plants in the end.
The cloudiness is aesthetically hard to take, but I would approach a similar situation with lots of water changes--not breaking down a system. There are other problems your tank might go through--snails, algae blooms, etc. If you break down your tank each time something happens, you will never have a biologically sound tank. It's not a betta bowl that you can just rinse whenever it gets cloudy.
That being said, I suggest investing in a better filter than the Emperor and not getting so upset each time your tank clouds up because of planting. This "silt" created by residual dust and fine particles is beneficial to the plants.