As an old-timer: that was the exception, not the rule. It was just as much "the Internet" in 1993 as it is now. It just wasn't as widely known by the mass public, so different usages were less likely to be caught by editors/etc.
The usage appeared even in books on the topic. In my personal library I have a 1993 book, "The Electronic Traveller: Exploring Alternative Online Systems".
I don't recall internet without the "the" being used by anybody in the UK in the early 90s. One confounding factor is that news articles were almost 100% written by people who had no knowledge or experience of the topic, and were almost universally as buttock-clenchingly awful as any article written on youth culture at any point in history. In the US in particular the press seems to glory in using the wrong phrases and sounding utterly disconnected from whatever they are reporting on
Example usage from 1993, https://youtu.be/KDxqfgIDvEY
Also antiquated terms like "cyberspace" never adopted an article. "He's on cyberspace" not "the cyberspace".