I don't quite think so. There are specific laws governing the use of of, say, photographic equipment within a private property.

If a web server, on other other hand, willingly serves content to both a browser being operated by a human, as well as screen-scraping software, then it shouldn't try to prescribe how the screen-scraper uses that information.

It would be the equivalent to, every time, asking somebody that works in the museum if you can take a picture, and them saying "yes", and then wanting to complain (or sue) afterwards.