When I hover over the relog link it says "Relog as a different user".

I thought multiple accounts were bannable. What's the point of the relog link then?

Multiple accounts are against the site's rules, but we do specifically say that we don't mind separate users sharing the same computer.  So you come in, want to use RPoL, but your brother has left the computer logged in (shame on him!), so you hit the relog button to shut it down so you can log in with your account.