The snippet of code in the question is doing a scan for new devices rather than reporting on connected devices.
The PyBluez library is not under active development so I tend to avoid it.
BlueZ (the Bluetooth stack on Linux) offers a set of API's through D-Bus that are accessible with Python using D-Bus bindings. I prefer pydbus for most situations.
The BlueZ API is documented at:
https://git.kernel.org/pub/scm/bluetooth/bluez.git/tree/doc/adapter-api.txt
https://git.kernel.org/pub/scm/bluetooth/bluez.git/tree/doc/device-api.txt
As an example of how to implement this in Python3:
import pydbus
bus = pydbus.SystemBus()
adapter = bus.get('org.bluez', '/org/bluez/hci0')
mngr = bus.get('org.bluez', '/')
def list_connected_devices():
mngd_objs = mngr.GetManagedObjects()
for path in mngd_objs:
con_state = mngd_objs[path].get('org.bluez.Device1', {}).get('Connected', False)
if con_state:
addr = mngd_objs[path].get('org.bluez.Device1', {}).get('Address')
name = mngd_objs[path].get('org.bluez.Device1', {}).get('Name')
print(f'Device {name} [{addr}] is connected')
if __name__ == '__main__':
list_connected_devices()