It pressures destinations to move to HTTPS if they want referer info (although Google also shimmed in a redirect to protect privacy / analytics premium... I don't know if it's Bing or one of my add-ons that's leaving direct links.)
Google SERP links are different in Chrome especially. Hover the link and you see one address, but copy the link URL and you'll see a number of parameters in addition to just the site URL. AFAIK, GA Premium is $150k/year and the sales rep I spoke with didn't allude to any solution to not provided.
Don't get too comfortable if you're on the paid side, either. Adwords disabled exact match keywords a few months back. They now include 'similar' keywords, but that is just another black box similar to the QS system that they have always used to manipulate CPCs.
