What happens if you have a coin based on "useful work" and you "solve" the problem you were hoping to solve. Now a lot of "miners" leave the network, presumably because they were only there to help solve that particular problem. Now you have a weak system, and a system subject to 51% attacks by adversarial miners, and therefore not a good money/coin.
I don't see how HN commenters (in large part) don't get this. It's the Single-responsibility Principle, just in a different context.