An eight-year-old's view of necessary qualifications for a pilot?

Yes, in that context it’s a direct synonym for “real”.

There’s another (slang) usage in the UK that isn’t very common, that means “extremely”, with overtones of “the genuine article” - as in “you’re proper weird”. Think this is dialectical, though not sure which dialect - probably up north.

Well “done up proper” and similar has appeared in every show set in London since “The Sweeny” at least. So the Beeb writers presumably think it’s common in London. Not that I’ve ever heard a Londoner use the expression IRL.