Yes, but it will never happen. No one will allow for any single country to take claim over the internet. The furthest you will ever see is what we have now. MPAA and RIAA filing lawsuits in other countries.
There is no way the UK, Australia or any other country will allow for the USA to take control just as there is no way the USA will let anyone else take control.
So they can fight all they want. It will never be resolved and never happen.