Facts can't be copyrighted, so such things as whether or not a person worked for a certain company, or went to a certain school, are unprotected, and with this ruling can be scraped, at least in the U.S. Others things common on LinkedIn, as you rightly point out, are protected--but by copyright law, not the CFAA. So a scraper acting in good faith would have to be careful about what they used if they wanted to respect copyright, but it's a separate issue from this ruling.
http://www.dmlp.org/legal-guide/works-not-covered-copyright