The $99 TV connector streams, it is not BT and uses very little HA battery power. Pairing is required for BT and only one at a time, so if paired to a TV, or computer it can not be paired to your smartphone at the same time. The TV Connector only requires it be linked by pushing a button on the connector, so you can have several and just link to whichever one you wish. All the while your phone will still be paired and will interrupt streaming for a phone call.
RDB