The birds aren't cheap, the rescue coordination centers (they know who to talk to, they have no ability to actually go into the field--although that's not always needed. Garmin recently mentioned one--SOS comes in "found lost child". 25 minutes later, SOS comes in "lost child"; all they had to do is direct them to where the other was) have to be staffed--and both are private.
Yeah, but the government can collect money via taxes, which allows it to solve coordination problems that would be more difficult for private companies to solve.