I don't have numbers on that, but from personal observation and from what I have heard other designers mention, people don't log out. They register once and don't want to enter yet another username and password, so they check "remember me" on their first login. This is certainly not true of everybody, but I think this is how a vast majority of users do it. And the websites are certainly obliging enough to leave them logged in for very long time.
And when the "remember me" time is up after a few weeks and months, they don't go to the landing page. They go to the address suggested in their browser URL bar, which is typically a page customized to the user, such as "my profile", "my inbox", "my deals" or whatever you have. When the web application has a non-authenticated request for such a page, it usually automatically redirects to a login form.
Due to this user behavior, I think that almost everybody who arrives at the landing page without already being logged in does not yet have an account. If companies have measured it and confirmed the numbers, it sure makes sense for them to optimize the page for the majority of people who sees it, that is, the not-yet-registered ones. The fact that a registered user is more motivated to log in and doesn't have to be lured into it is certainly a nice circumstance, which makes it even more of a no-brainer.