Earlier quoted context omitted.
You are correct. > [kubernetes is] a simplified clone of Google’s internal borg system https://medium.com/@steve.yegge/honestly-i-cant-stand-k8s-48...
That said, Google, to my understanding, does run a completely containerized infrastructure internally, including databases and other stateful things, so it is not wildly off to suggest running a database on Kubernetes.
Bigtable, Spanner and even Colossus/D run in containers on Borg.