I think the main advantage here is that it's a one-binary-file webserver.
Very simple to install and ideal for file sharing among coworkers or similar situations. A modern equivalent of "python -m SimpleHTTPServer".
It also freaks out if the root dir is blown away, which can be quite common if you're trying to use it with a static site generator.
'python -m SimpleHTTPServer' is great for serving files to yourself but that's about it.