In my 50G tank, I've been dosing 3 mg/hr directly into the skimmer with a bag of carbon on the air exit at the top of the skimmer and another bag at the return line to the main tank.
I have noticed a definite decrease in skimmate, but what I do obtain tends to be a lot more concentrated.
Edit: I don't know if this is related to the ozone or not, but for about the last month, every time I feed or add any kind of new organic into the water, my skimmer goes NUTS and feeds a ton of micro bubbles into the tank (it's a coralife super skimmer needle wheel job if that helps any).