It’s also usually lawyers that create these names. I worked on databases for IBM Cloud and they were all called “IBM Cloud Databases for Elasticsearch” and what have you. Despite it being an offering of the database on IBM’s cloud.

Since Elasticsearch is a brand name, the “host” corporation corporation has to present it as a product “for” the brand name rather than as the brand name itself to avoid implying that they are acting AS Linux or Elasticsearch or whoever is the third party.