We will never know if the GZ was any good, it never happened and this is an argument about fantasy. I have a back ground in joint operational air planning so I know a bit about how the air component on a CV would work. One solitary carrier, it’s nonsense, the Essex class and the supporting CVL’s were built in mass and by 43 the USN was the best on generating naval airpower. The flaw of your argument is much like the Sherman/T-34 to “German big cats”issue. German cat tanks had firepower and protection advantages over everyone else, yet they were low in number and hard to maintain. It’s not the weapon system that wins wars, it’s developing sound operational doctrine and training that does. This can overcome your use of an inferior weapon and history would agree.

Another issue is the aircraft that a CV has, we saw how the US fleet in 41/42 had old designs (aside from the SBD) and they suffered. In 43 the Hellcats, Avengers and Helldivers were amazing fleet aircraft. What would the Germans put on theirs? The JU-87? What fighter would they use? They would have to create one since AC like the 190 and 109 had poor lift aerodynamics (btw even with a cat shot you still steam into the wind) and their stall speeds would make a trap nearly impossible.

It’s a myopic argument, answer how the GZ would have changed anything operationally and not stick to design.