The problem with Docker is not that it doesn't solve (or attempt to solve) widespread problems. At its best, Docker gives you dev/production parity, and dependency isolation which is useful even for solo developers working part-time. The problem is that it's not a well-defined problem that can be solved by thinking really hard and coming up with an elegant model—like, for example, version control—it's messy and the effort to make it work isn't worth it most of the time right now.
That's no reason to write off Docker though. Pushing files to manually configured servers or VPSes is messy and leads to all kinds of long-term pain. You can add Chef / Puppet, but it turns into its own hairy mess. There's no easy solution, but from where I stand, the abstraction that Docker/LXC provide is one that has the most unfulfilled promise in front of it.