I take your point fully. Just musing on the country codes being appended to the same words as the new top level domains, just to create more confusion.
In the UK some smaller private colleges that are not eligible for .ac.uk register web sites with the .ac country code.
My understanding is that books.uk is just a second level domain. It would have to be Nominet who questioned the application, and there are countries that appear to take a liberal view of the use of their country code. Have I misunderstood?
Technically speaking, of course.