I like how it works right now. A log out perhaps should log out all your sessions. I do not want to have to log in again and again on my different computers and devices.
Same, I regularly use three different devices. If logging in from one logs me from from another that will be annoying.
Maybe implementing an option in the profile, where as, an email confirmation is needed, to have it be changed? That way, it gives the user ultimate choice of security and power user of what the member wants.
Say like, one person wants it to only have one session, while another wants what you and tradefortrss wants. Make an option, only changeable via email confirmation for added security.