I work at Zalando where we run hundreds of PostgreSQL database clusters on Kubernetes (on AWS) using our Postgres Operator (https://github.com/zalando/postgres-operator). This gives us some added flexibility, quick startup (e.g. for e2e), and the latest PG features. That being said, I would be careful to recommend any specific stateful workload approach without good understanding of the whole setup (true for whatever cloud/k8s/onprem environment).