So ozone is only good for controlling waste and not really good for killing diseases, right?
The way I understand it ozone is more of a clarifier that converts organics and often fragments them into smaller particles through oxidation. Because of how some of these organics are converted its possible that skimming could actually decrease. However those smaller fragments would then be eliminated by bacteria in the tank rather than skimming, which is probably why ozone is not used with Zeo. I have read that ozone when combined with carbon is the best method for removal of organics.
To answer your question about killing disease, no, not directly. In the water treatment industry ozone is used to disinfect the water by killing bacteria but the size of that dosing is far higher than we would ever use in an aquarium. Use of the much lower amounts of ozone used in an aquarium has the ability to convert organics which in turn are taken up by some beneficial bacteria, which in turn uses up other organics that would typically feed some unwanted organisms. Even the concentration of ozone within the reaction chamber isn't enough to kill any bacteria that passes through, unlike UV that kills anything that passes through (good or bad).
My primary reason for using ozone in the past has always been to clarify the water. When combined with a small amount of GAC my tank often looked like there was no water in it, it was that clear. The benefit to this clarity is better light penetration and I believe this aided in better coral coloration.
I think UV is probably the preferred method of disease control for some but to me it has the adverse effect of killing even the beneficial organisms which could do as much harm as it does good. I personally prefer to guard against introducing disease up front through quarantine and letting the natural bacteria in my tank act as its own immune system. Just like the human body, a healthy tank has the amazing ability to take care of itself. I try my best to keep everything healthy and most of the time the living aquarium does the rest. JMHO