I never took it to mean "I" the first person singular, but I-nternet ? I could totally be wrong though. It also could have been both.
> The "i" in iPhone originally stood for internet. Apple co-founder Steve Jobs introduced the lowercase "i" prefix with the iMac in 1998 to highlight the computer's fast, out-of-the-box web connectivity. During the launch, Jobs also revealed that the letter represented four other concepts: • Individual: For personal use and computing. • Instruct: For education and learning. • Inform: For accessing information. • Inspire: For creativity and future innovations.
In a more generous light, the focus on the individual is a reaction to an Authoritarian groupthink, eg 1984. Perhaps it’s just the Cobra Effect.