I mostly use lowercase, after becoming aware of the debate and shift around 10 to 15 (I think) years ago.
I think the internet is still identifiable enough, and separable from the world as a unique thing, that it's not outlandish to capitalize it.
Eventually it will recede from uniqueness and capitalization. You would not write the Railroad today.
According to Wiktionary [1]:
"Usage in reference to the global network is normally capitalised, reserving internet with a lower-case i for any other set of computer networks connected by internetworking. However, popular usage (e.g. BBC and Timesonline) increasingly spells it with a lower-case i."