You probably could achieve similar with $ systemctl status bluetooth.service. Also hcitool can tell if the adapter is up and running but keep in mind that hcitool is depreciated and no longer maintained by the upstream.
As for the man entry suggestion yes that could be something to consider given that the default man page is quite vague nevertheless this, as whole bluez, comes straight from the upstream.
Now I understand your use-case.
You probably could achieve similar with $ systemctl status bluetooth.service. Also hcitool can tell if the adapter is up and running but keep in mind that hcitool is depreciated and no longer maintained by the upstream.
As for the man entry suggestion yes that could be something to consider given that the default man page is quite vague nevertheless this, as whole bluez, comes straight from the upstream.