The special thing is breaking things up, but I don't think its primary attraction is the ability to resume faster. I would say the prime attraction is that you can resume at all. If, for whatever reason, your connection gets interrupted while downloading something off of, say, gofile or whatever, you're probably gonna have to restart that download, which is clearly not the case with bittorrent. Or if the content is removed from gofile (or whatever), you're shit out of luck. Taking something out of a bittorent network is significantly more difficult.

Establishing connection to one big provider is usually faster than negotiating with a bunch of peers, though. At least in my experience, torrents take quite a bit more to start than "regular" downloads because there's more work to be done before the work can begin. And unless it's a very popular file that's being served by many different peers at once, a single big provider can also be more available. With torrents you're often dealing with regular people, who don't have their computers on 24/7 and very often have piss poor upload speeds. If it's a file that isn't being served by many people, it might be very slow and difficult to get.