if I had my choice, they would work on a naval Eurofighter
With no catapult capability on the carriers they still wouldn't be able to use a navalised Typhoon. Added to which, the design concept of the Typhoon was a high agility interceptor fighter using look-down, shoot down weapons, so not very suitable for use as a naval strike fighter, which generally fly lower, and need far greater capability for air to surface weapons (including heavy, long range anti-ship missiles). Then there's the need for larger wings that also fold, new avionics, new stronger landing gear, airframe mods to cope with an arrestor hook, weatherproofing for the corrosive environment etc etc.
It simply doesn't make sense spending five-ten years creating a naval Typhoon - by the time it comes into service the original design will be thirty years old, it would cost a fortune, and still be a compromised design.