i think you're right, it may only be the radio transmitter not the lower power sonar ping that runs out, woukldnt have througyht radio woulkd be much use underwater though anyway
There is no radio transmitter in the black box (FDR). There is a Crash proof recordable device and a Sonar locator beacon. The power supply is designed to switch off and preserve the recorded info upon impact or immersion.
The SLB's battery have a life of approx 30 days this is the guaranteed minimum but generally they go on considerably longer.