I totally agree that they will never be able to repay the state for the financial damage they caused. They'll never even be able to repay their own upkeep in the prison. But because they can't repay it doesn't make them any less responsible (= to blame) for the financial burden on the tax payers. They caused it, not LE. So I think if people are upset about the financial outlay, the cause of that outlay should be kept in mind. And if there's a cap on the amount that the public is willing to pay for SAR or missing persons investigation, it should probably be quantified and stated pretty clearly, perhaps voted on. If there is no pre-agreed upon cap, then where is the line drawn? If people in general want the child found, and people are also generally uneasy or in disagreement with the financial outlay - what's the solution?
It reminds me of the early advent of AIDS, during the Regan administration. Margaret Heckler, the heath secretary, publicly stated that AIDS wasn't a problem that money could solve - only scientific research could solve it. So she wouldn't agree to put money into AIDS research. Of course that made no sense because scientific research costs money, and without any funding the scientists were unable to do research on AIDS and the Regan administration could point the finger to the unfunded scientists with no equipment or lab space who weren't solving the problem fast enough.
It's a classic problem. We want the solutions that money can facilitate, but we also don't want to spend the money. Some solutions aren't found early in the game and so the financing that has been put into them are looked upon as "wasted". Some things aren't a quick win, and it's true that sometimes we can't afford the long haul funding. It's a tough choice.