I don't know about the rest of the world, but I use an initial cap to signify an
entity. Hence, 'the internet' vs Multivax (Asimov's 'internet' AI). And, for that matter, 'the sky' vs 'Blue Sky Mining'

The sky is singular, if experientially subjective (but then, you could argue that the internet is experientially subjective, too, depending on your physical location and your technical expertise) - it is NOT an entity.
My opinion? When I start thinking of the internet as having its own personality, I will capitalise it. I've been on the net for 15 years and I've NEVER called it the Internet.