No, you've got it backwards at least as far as the timeframes are concerned. You want to use ozone right after your soak to oxidize the bather waste. You also add chlorine right after your soak to kill off pathogens in the water, especially those not getting circulated that may be stuck on surfaces. Because the ozone will oxidize some of the bather waste, you'll use less chlorine doing so.
However, because ozone also reacts with chlorine, you ideally want to turn your ozonator off after some number of hours and then just have the remaining chlorine disinfect the spa in between soaks. With no ozone, the chlorine will last longer so you won't need to add it as frequently. Though this is the ideal situation, in practice one doesn't have control over the ozonator so this is why using chlorine with an ozonator really only works out if you are soaking nearly every day because the ozonator will increase chlorine demand to 50% or more daily so chlorine won't last for more than a day or two.