I've used Neo4j desktop for a while and one thing that has annoyed me is the multitude of windows that don't used used often buy you can close them.
The main window that starts/stops project DBMS is used only once, to start the server and open the query console (aka Neo4j browser).
It would be ideal to be able to close the main window but leave it running like many applications do on MacOS, a good example would be docker. Neo4j Desktop also creates a Menu bar icon, that effectively does nothing? (you can't even disable it, bummer) Again looking at docker, once you launch it you can close the main application and docker daemon runs and the menu bar provides launch controls.