> A website is the property of the website’s owner.

No, for example the information a user puts on linkedin is that users property. The user put it on linkedin since the user wants the world to see it, so scraping linkedin to find candidates for a job doesn't violate anyone's property rights. Linkedin might still complain about server costs which is a valid concern, but they can't say that they own the data users themselves submitted regardless of what their EULA says.

Treating user submitted data as property of the host just creates lock in, I don't see any reason why that would be a good policy.