It depends what you are referring to. If you are talking about a full blown server like a Dell 2900 or T410 with a server OS, then I don't think rebooting the server over and over is a great idea. First, unless using SSDs, then a reboot can take up to 15 minutes.
And, I wouldn't want a staff member anywhere near a server. I know it doesn't sound like a big deal, but there can be issues. There are times when updates force you to reboot, but otherwise, your server is meant to run without a reboot for quite a while. Reboots should work without an issue, but if there is one, I want to be the one there when it happens.
My opinion only.
