It seems the author of the article in question replied to my comment as well, and it's worth noting because his intent is (more or less) what I got out of reading the post [1]. I don't find it misleading. I think your point of contention may therefore be with the interchange between application and process as synonyms throughout the post. By implication, I took it to mean application in the context of a single cohesive unit (maybe not just simply a process, though it can be) that is run via a supervisor or alone.
(That said, using LXC directly is something of an exercise in frustration as the CLI tools are a bit... kludgy--Docker is far more polished.)
> You can put sshd in your docker container, you can run init scripts.
I seem to recall that running sshd from a Docker instance isn't exactly the intended use case of Docker [2] and is generally frowned upon.
[1] https://news.ycombinator.com/item?id=8310276
[2] http://jpetazzo.github.io/2014/06/23/docker-ssh-considered-e...