And the government created that too. And the government decided eventually that confining the internet to just academia (as the NSFNET was) didn't make sense so they closed down the NSFNET and the main links changed to be commercial instead of government paid.
This period you speak of where the ARPANET was the backbone for a network that was generally used never existed. The NSFNET started out around 1987 and you didn't see any real commercial use of the internet until the early 90s. Even CIX (ANS) came in 1991 with the help of the NSF. After Congress (including Al Gore) passed legislation pushing the NSF to repeal its restrictions on commercial use you saw significant commercial uses take off.
Today's internet is in no way an unintended consequence. It may not have been paid for by the government, but they did design and develop it and were well aware of the possibilities beyond academia.