If you travelled in time back to the 1500's you would use whatever infrastructure in place wherever you land. It isn't any different today.
The government didn't create the Internet as we know it today. Yes ARPAnet was the genesis of what eventually became the modern Internet. Private entrepreneurs investing massively in both time and money carved out the the modern Internet.
The modern Internet would have happened without ARPAnet. Services such as Compuserve and a myriad of BBS's were already carving out that space. France had an Internet-like system before the Internet. As things happened the modern Internet evolved from ARPAnet, but I do not, for one second, subscribe to the idea that we owe the modern Internet to the US government. And much less so that the aforementioned web designer has anything to thank the US government for.
We elect officials to run the country, uphold laws and provide agreed-upon services. And we all pay for the cost of those services (dearly, I might add). Everyone benefits from this. That businesses spring up and use the available infrastructure is only natural. To propose that businesses somehow owe government for the existing infrastructure is preposterous. Part of the political game is, of course, to pander to the unions, which are very receptive to these kinds of messages.
Does Apple owe its success to the Chinese government for putting into place the infrastructure that allowed them to bring the iPhone to market? I don't think so. Apple used the best infrastructure it could find in order to meet their goals. If the Chinese didn't have it they would have gone elsewhere.
Do we, then, also blame the US government for not building the infrastructure necessary to compete with China and keep millions of jobs in the US? Of course not. But you can't play it both ways. If the government is the source of our success and achievements then they also get to own our monumental failures. Examples of this abound: The destruction of the light aircraft industry due to regulations and litigation; the destruction of the automobile industry due to unions; the destruction of our financial well-being as a nation due to over-spending, unnecessary wars, government unions, ridiculous pensions, entitlement programs and, in general crappy partisan thinking on all sides.
As degenerate and incompetent as our government has become I fail to see how anyone can think that they can be or are the source of anyone's success unless you work for a union. Today I heard on the radio that sa government worker is retiring with a pay of $301,000 pension FOR LIFE. Yes, that guy owes his success to government as I can almost guarantee you that he did nothing to have earned or deserved that pay.