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I manage a few seminar rooms where the "room computer" is located in a locked AV closet.
Shutting down one of the seminar room computers requires one of my techs to go to the AV closet and press the power button to turn it back on for the next presenter. I know you can get an IP switched power strip but my techs are not always available to turn on the computer physically or remotely. We manage a whole campus.
No matter what I did (posting signs or changing the desktop wallpaper to say "Do not shut this computer off. Please log off and leave the computer running), it was second nature for the user to Click start > Shutdown. Then I replaced the shutdown button with a log off button for everyone but the local administrators. problem solved