In the Window Mode setting, could you please add an option to use a hidden window, so opening a connection doesn't create a tab? For certain types of connections, there's no need to interact with the UI, so it's distracting and creates clutter to display a tab for the connection.
for integrated connections the tab is needed because of architectural constraints. For external apps, you can start an app unattached. In this case, no tab is created and the process is not tracked.