My reading of it has them blocking referrers even if the target page is https. See: http://searchengineland.com/google-to-begin-encrypting-searc...
So unless gAnalytics is going to be deliberately ignoring incoming referer headers in particular circumstances from now on, things should remain the same if your page uses SSL.
I willing to believe however that they actually are going to be deliberately ignoring/discarding the data even when it's available. That would certainly make the EU happy.
The browser decides when to send a referrer, not Google. You can, for instance, tell your browser never to send them, or to send a specific one.
https://secure.wikimedia.org/wikipedia/en/wiki/HTTP_referrer
In HTML5 you can apparently request that a referrer not be sent, but that's a request, not a command.