Furthermore CAGs seem to NOT regain org and str on a CV at sea ever. The CV always must return to port and even then it's best to rebase the CAG into a landbased airport. The CVs I use DO however defeat any and all BB, BC, etc. so that is great.
Just wondering, but you find this strange? Think that any time that a carrier air group conducted an engagement, they lose aircraft, have aircraft damaged, spare parts are lost, etc. For instance, take the battle of Midway. VTs-3, -6, and -8 all attack, and lose all of their aircraft. VB-3 and -6 both attack, and lose most of their aircraft. Fighters also absorb a few losses. Over 150 aircraft are lost in total. Amongst three carriers, that's essentially losing a third of the organization and strength. Ships lose personnel on the flight decks due to air attacks, and those personnel belong to the air wing, not the carrier itself (which is really reflected in the organization slider, I feel).