Re: Fake.
Not only does the Royal Navy have hundreds of years of ship building (ship-ordering) experience, it also has extensive experience when it comes to naval aviation.
It uses the F35B not the F35C (or F18 E/F, or Rafale), because it wanted V/STOL, having operated both conventional ('Cats-and-traps') and V/STOL (with and initially without ski-jumps) carriers.
Much of the specific technology associated with naval aviation was invented by the Royal Navy, who were also the first to do just about everything in relation to naval aviation (it's a very long and impressive list of 'firsts')
Also, while BAe is part of the aircraft carrier alliance and a partner to Lockheed Martin on the F35. claiming that the F35 is made by the same company that made the carrier is something of a stretch.
None of the above should be taken as positive support for the F35, mind.