Cosmos is (was?) also the name of Microsoft's internal distributed database that they ran their version of map reduce in. I think Cosmos is a very common name to be used to name projects, it is probably used more than a few times a years as the name for a new project.
Cosmos - "the universe seen as a well-ordered whole"
Given the nature of the word, I it think fits the Cosmos Network pretty well, as blockchains are mostly about consensus around ordering. And Cosmos IBC provides a kind of partial-but-sufficient ordering around the Cosmos Hub.
But maybe it'll all run on a CosmosOS, and be integrated with the Cosmos react system.