If we start 'publicly shaming' hospitals for high prices, then that will encourage hospitals to aim for low prices. That of course sounds great on its face, but my concern is that this is going to encourage hospitals to achieve lower prices through cost cutting, (aka cutting corners, in the industry where corners need to be cut the least: healthcare).
Trying to rein in healthcare costs is great, but I fear that trying to do it by encouraging focus on narrow metrics like these could do more harm than good.
Also, these publicly-available prices will be almost meaningless to the average person, as they are just 'list prices' and won't match what insurance or any individual actually pays.