If you, as a site owner, don't want people to share information your server sent to their computers, implement strong DRM or don't allow off-premise access altogether. You might loose many prospective users, but at least your information will remain "safe". Probably.
If you want to share information on a website but can't think of a reasonable way to make money of it, that's your problem, not mine.
Lastly, I fail to see how a discussion on copyright relates to recaptchas or even site-owners' failed business models. Unless you can get this thread back on topic, perhaps we should continue this (most likely frutless) discussion somewhere else.