Indeed. Though, had the QE class been built as CATOBAR - which I believe they still have passive provision built in so that (in theory) they can be converted in later life - we'd effectively have three given that the distance between Portsmouth and Tulon isn't that great in the grand scheme of things.
The Americans have operated aircraft off the Charles de Gaulle, I'm not sure if the French have operated off a Nimitz-class but I suspect they have.
CATOBAR is just really expensive, is technically demanding, requires lots of crew and has high training requirements.
French Rafales and USN FA-18s have taken off and landed on each others carriers but it happens rarely and seems to be more a way of keeping French Navy pilots fresh when the CDG is laid up, which it is often. Basically CATOBAR interoperability is so difficult it hardly happens and, that I know of, French crews, support and aircraft have never operated for a full deployment to a USN carrier Or USN crews and aircraft to the CDG.
Meanwhile interoperability for QE carrier STOVL operations is so simple that we’ve already seen full deployments of USMC F-35Bs crews and support to QE carriers. With Italy, Japan. And others coming onboard with F-35B we’ll no doubt be seeing more of this.
France should go STOVL…