Beyond that, they aren't made anymore, and require a land base. (Okinawa, for example.)

In a carrier v. carrier battle, the F-22 likely won't be a factor unless the chosen "ground" is in the operational vicinity of a land base. Granted, Wikipedia believes the avionics range for the F-22 is 250 miles.

That shows some of the advantages of China's South China Sea strategy (taken straight out of the U.S. playbook with Caribbean).

This is the closest "known" interaction:

U.S. F-22 stealth fighter pilot taunted Iranian F-4 Phantom combat planes over the Persian Gulf

https://theaviationist.com/2013/09/19/f-22-f-4-intercept/

This. It's really good at things because Lockheed Martin will spend $2 trillion building it and says it is.

That's a fair point, it's been very effective in "simulated combat", but I guess the military can make that say whatever you want.

J-20 downed zero aircraft as well, as far I as I know.