He is right, UV sterilizers sterilize, however, I don't look at it from that standpoint, especially since we are talking about closed systems with many levels of live organisms different from water treatment. The organisms we are talking about don't have long lifecycles (think about how long ich is in the free floating stage)....either they will be picked up as food for another organism (many possibilities here), picked up by the skimmer, or by some other form of mechanical filtration. If you are able to stop their reproduction, then you can eventually eliminate them....provided they pass through the unit itself. That's the tough part, things attached to surfaces in your tank won't be killed off, however, if an algae spores out, UV can stop the spores from producing more algae (if they go through the unit). What is going to happen to the algae spore that can't reproduce? From my point of view, UV provides a cushion in keeping things from getting to a large population (UV does not eliminate ich, however, it can help control its population if the free floating stage passes through the unit). UV is an optional piece of the filtration puzzle. Just make sure you keep the sleeve around the bulb clean (the dirtier it is the less effective the UV is), and you use proper flow rates through the unit.
This is my understanding of UV. Hope it helps a bit.