Having OS server adapters showing started/stopped states is quite perplexing, because they are completely arbitrary.
For example, I can click start on a stopped server with no connection, then just cancel the connection dialog - it throws an error, but it proceeds to started state anyway.
It is meaningless to have different states, when their only function is to predend the server is in some state. Plus it introduces steps like the 'stop server before deleting' dialog.