Anyone trying others to adopt their products is a vendor, regardless if they are commercial or open source.
Also Linux is just a kernel, naturally it needs a vendor like RedHat or Canonical to provide an actual product.
Postgres is a RDMS already out of the box.
E.g., in most Apache projects originally donated from a corporation, that corporation's employees usually still constitute a majority of the developers.
The corporation(s), in such cases, aren't sponsoring the project in any strict technical/legal sense. Rather, the project is steering and constraining the corporation(s) in their development efforts on their forks/extensions of the project codebase, determining through the project's core maintainership's decisions, what will be accepted/upstreamed from those corporate forks/extensions into the open core, vs. what will have to remain in those forks.
See: Redis vs. Redis Labs; CouchDB vs. Cloudant; Apache BEAM vs. Google Cloud Dataflow; etc.