I already do this. Above the trashcan on the left.
I am running the ozone into my skimmer and have the air in the collection cup recirculating back.
I made the hat for the skimmer and the tube on top has carbon in it. It is also fed by outside air.
I am not running carbon on the discharge water. This has been problem free for months.
I read all the problematic posts about using ozone and looked at the cost of a reactor and this is what I came up with.
I am in the process of upgrading the tubing to better stuff now that I know it works.