[Silhouette]

In London and the UK this is indeed how people use the term “contracting”

It's how some people in London and the UK use the term and how some of their contracts are set up. But plenty of other people would also describe themselves as "contractors" despite having a different kind of contractual arrangement, and since no-one has some magical authority to define the term I think your generalisation is unfounded. If nothing else, a lot of boundaries have been deliberately blurred since IR35 came along, so the whole permie vs. contractor distinction hasn't been what it used to be for at least a decade.