What looks compelling about the PostgreSQL offering as compared to AWS RDS is that it looks like you get a PostgreSQL cluster rather than a single database in a shared cluster. At least reading the documentation for creating a DB implies that (https://docs.microsoft.com/en-us/azure/postgresql/quickstart...).

For me, it might remove some blockers to moving some clients to a cloud managed database solution that had always been there with AWS RDS. If that follows through and pays off for having a proper PostgreSQL super user in the database environment available for use (what I really want), that can make certain things much more do-able (brings new things you have to watch out for, too, but... pick your battles).