Hi Tkki1230,
Since we're talking about logic, if we are relying on nitrifying bacteria to maintain water quality, why would we want to kill them?
In reality, there are very few people that I know of that use UV sterilisers.....not so much because they will render your system useless, but because there is no point.
Aquaponics is an eco-system (see
here for a more complete explanation of this statement) and it follows that eventually all of the organisms will manage their niche and the system will be in balance.
Your settling tank and bio-filter will serve you much better in stabilising an AP system than a UV steriliser.
Gary