Yeah, I've spent long periods of time over the past 5 years either without Internet at home, or without even a computer. Though it has somewhat improved my sleeping schedule, it hasn't really changed my productivity. Instead of wandering the net, I'd just rewatch and replay the stuff that's on my hard drives. Instead of playing games/watching series, I'd just read books.
I thought I'd finally get off my ass and start actively writing stuff, which I actually happened, but not to the extent I was expecting. The only thing really affecting my 'productivity' is pretty much my willingness to do something about it, which itself is mostly influenced by my current moral, which in turn is influenced by many factors, among them the availability of an Internet connection or a computer, or what's on that computer and about a hundred other things.