Yes, mine does not do a "log out" but a true "restart". I can tell Mint to "shutdown" from the menu, CLI, etc.. and then watch as the shutdown occurs, then BIOS screen appears, then the startup Mint login window/background appears.
Also on reading similar issues with other distros, I went through the BIOS looking for any type of wake on lan or non-normal power settings. However, this computer is so old it does not have any of those type settings in the BIOS for me to change. The closest thing was to alter the power state if the computer loses power: stay off, reboot, or return to existing setting. Default is stay off, so I left it there. No change as to whether the shutdown command works though... it still does a restart.