Sid,
Welcome to TFP... A great place to find the answers to all your pool myth questions...
Unless you come from that unknown part of Texas that does not see the sun, then your UV system is a little redundant... Ozone is one of those things that sounds nice, but in practice does very little, if any good. I like to say... "All Magic, but no Rabbit..." The main thing they do is transfer money from your pocket into your pool builder's pocket.
I do believe that they have an placebo effect and make the pool owner think they are doing something when they are not. I suggest you run for two weeks with them turned off and then two weeks with them turned on and see if you can objectively see any difference.
How are you currently chlorinating your pool? Are you using 3" tablets? Are you also adding weekly or semi-weekly doses of Pool Store "Shock"?
TFP is all about measuring the chemicals in your pool and then using that data to determine if anything needs to be added or not. To do this you need to be able to measure your own pool water so that you can get quick and accurate results.
How are you currently testing your pool water?
Thanks for posting,
Jim R.