There are 2 components for docker: the daemon and the tool used to send commands to the daemon. In order for said tool to be able to send commands to the daemon, it needs a way to communicate with the daemon. Mounting the socket in the container is the easiest method.
I have a "tooling" image that consists of a set of scripts (python code) to do various things ops related. One of the things is to build new images when required. I have a script that given a git commit will detect the images that need to be build and build them. Having my tooling code in a container makes it easier to deploy and use new versions of the tooling code. I don't need anything on the host apart docker itself. No build scripts, no python.
As I said, i could be running the docker daemon inside the container, but that breaks one of my rules related to containers: containers are not virtual machines, they should only run 1 process and the output of that process should be std out.