If they can detect the faint signal of a heartbeat from so far away, why not instead deliberately transmit a weak, wider-bandwidth pseudorandom magnetic signal? Such a signal would be even harder to detect than a heartbeat without prior knowledge, yet easier to identify and track using a matched filter.
Because not everyone has a transmitter, but everyone has a heartbeat?
Though in this case the pilot likely had a transmitter and that's exactly how they found him.
They want to lie about how they found the soldier, and potentially have China spend a few billion trying to copy technology that can never work.