The creator of Alpine Linux, Natanael Copa, reportedly went to work for Docker, so presumably Natanael thinks it's a reasonable use-case. Solomon Hykes, Docker's CTO at the time, posted about it on HN: https://news.ycombinator.com/item?id=11000827
Alpine Linux, as I understand it, strives to be a lightweight and minimalist distribution of Linux. That's exactly what you'd want to run as a container, assuming you are going to run a Linux distribution and one that's different than the production host system.
This is from a CVE that was released a little over a month ago.
Also it didn't really have anything to do with the Docker daemon running as root, it was triggered by the use of root users in containers (blocked if the user didn't do that, had decent SELinux setups or used user namespaces)