Hiding "www" seems less meaningful. I'm not really sure what the motivation is there, beyond the fact that the "www" prefix is mostly just aesthetics. My best guess is they want the url to start with "google.com" instead of "www.google.com", except that's not helpful from a security standpoint at all and might be slightly detrimental, if it trains people that the very first word they encounter is the most important, as paypal.whatever.com is not in fact paypal. But a lot of domains already elide the "www" anyway.
Of course, in both cases I am assuming that putting focus on the URL bar will display the full URL.