I think it would be better to have the device remain operational. If it locks up, the thief would probably flash it or throw it away. As long as it is functioning, the thief might use it himself or sell it to someone, so it'll keep popping up in the network and sending location data. I'm fairly confident the authorities would in fact act on this if I had a good trace of the device. After all, you don't know how much other stolen things you'd find from the perpetrator.