That reasoning drove the majority of computer technology progress during the 1980s and 1990s. It wasn't until AFTER the birth of the World Wide Web did mainstream businesses start to really look at monetizing this new market, and in a symbiotic way hackers and nerds and geeks started crowing about altruistic philosophies like decentralization and how information "wants" to be free.
The open part can be pedantically removed in the case of ARPAnet, but I've not met anyone who confuses the Internet with ARPAnet. The Internet, as it came to be called in the 90's with the rise of the World Wide Web, WAS at it's core 'open'. Pretty much everyone I've met who was around and working on the ARPAnet saw it as a foregone conclusion it (a network based on the lessons learned through ARPAnet) would be going public in one way or another.
Now you have! :) Unless you don't count online interaction.