I am one of those optimistic types who thinks this is the key. As long as there is no accountability for errors, ie no one is actually responsible and people and companies can make claims without any penalty, nothing will be done. Conversely, if the penalty for false claims were exactly what it would have been for a true claim (but bounced back to the claimant), I think those false claims would dry up mighty fast, at least in these kinds of cases where no human has verified the claim and no thought has gone into it.
I really do think it that simple :-) The manner of avoiding false claims, whether fancier automated software or hiring more reviewers or simply not being so quick to make claims, is immaterial. People are pretty danged good at solving problems when they have tremendous self-interest in doing so, and a few hundred-thousand dollar perjury awards would focus their attention marvelously.