[Jon]

Eh? That's how it's been on BBC shows made by indies since 2005!

It should logically be the production company OR the company it's made for.

Logically it should be who ever owns the copyright. In this case it must be the production company and the Royal Institution. The later owns the copyright to their own lecture and the production company own the copyright to the product made for the BBC.

BBC owns the Doctor Who brand and so yes I imagine that will be the case. But that‘ll be because they own copyright so it’ll be correct in that scenario.

You’ll often see with sports, the whole programme credited to the governing body of that given sport because they own the copyright.