I find this response confusing. As has been well documented in threads such as
this, CV fighters do virtually nothing to protect a fleet. Thus CVs are not effective at damage reduction from enemy NAVs.
Bitmode identified that one of the bugs that was causing this was (I believe) due to CV wings always starting at minimum air efficiency due to the newly arrived penalty. This has been fixed, so after LaR drops CV fighters should now be a whole lot better at protecting a fleet from enemy air.
In answer to the OP, the most effective use of carriers right now is to put 100% NAV on them, though carriers in general are still a poor choice in general from a 'meta' view.