You are better off looking at Oracle, the difference between (say) MySQL Community Edition and MySQL Enterprise Edition, and the relationships between MySQL and MariaDB and Percona.

No, that would not be accurate.

The difference between them is like

Redhat Enterprise Linux (Costs Money, Enterprise Supported)

vs

CentOS (Community managed, community supported, Libre Free)

CentOS comes from RHEL, while Docker comes from Moby. So the correct parallel is Fedora-RHEL or Wildfly-JBoss.