Not trying to say you are wrong, but, the phone calls made by the families to the passengers phones after the plane went missing, and the families hearing it ring IS possible without the cellphone being active, or powered on.
I've explained this before.
When the cell phone is turned on, it connects to the network and basically says hello network, i'm this phone and i'm connected. Some would call it a handshake, ping, or acknowledgement. Which is why the police and authorities are able to ping your cell phone and pull a GPS coordinates to find out where you are.
Now when you turn your cell phone off, it sends another message, basically saying i'm leaving the network and will no long be on to accept calls. So there will be no more ringing.
If you happen to pull your battery out or the battery dies, the phone has no time to send that goodbye message, and the network will assume the phone is still on and just not in network range, temporary signal loss, and to someone who is trying to call you, they will think you are ignoring their calls. Which is why the families still heard their loved ones phone ring when they called.
Also I've heard about people asking about the "find my phone" app. In order for that to work, you would need to have the cell phone in network range and with a data connection.