I agree that 'companies' paid to run lines/connect servers/add servers so that most of us can access the various servers. But the idea was built on a need of the military (US, in fact) and they are 'owned' by the Government, who, in turn is 'owned' by you and me. If the EU wants part of the 'action,' let them buy their own. Does that sound enough like an "Ugly, Arrogant American?!"
The point is, many people from many countries have contributed to not just the "Internet" but what and how we use it. While the 'backbone' is essential, it wouldn't be very useful "to the rest of us" without TCP/IP, FTP, browsers, HTML, PHP, Perl, MySQL, Apache, etc. and the thousands of pieces of soft/hardware we all use everyday without even knowing it.
I guess a good analogy is radio/TV? No body 'owns' the 'air,' but without the hardware (transmitters) our receivers would be nice dust collectors. So, to prevent over-crowding the 'air' with signals, we have regulation (with its benefits as well as its foibles). All that hardware, orders of magnitude more than what the military first needed, has to be paid for somehow. If one can successfully argue that the 'Internet' must be 'free,' then why should we have to pay for telephones, electricity, oil, water, even food?! Many would argue that all of those are more critical to survival than the interweb.
"There ain't no free lunch." Be it Freedom or the Internet (whatever
that is, anyway).