Pushbullet https://www.pushbullet.com/ https://www.pushbullet.com/ does this for Chrome/Android. Odd about the Bluetooth Low Energy and having to be "in range"

Pushbullet https://www.pushbullet.com/ https://www.pushbullet.com/ does this for Chrome/Android. Odd about the Bluetooth Low Energy and having to be "in range", surely the device has to be powered up enough to be communicating over TCP/IP to get notifications that are not calls/SMS anyway and the real value of instant mirroring of notifications comes when your too far away to hear phone warns you on your PC of an incoming call