There's also no reason why a "reboot" can't be a "violent power cut", especially if the equipment in question doesn't hold any state. For instance, there's no reason why you'd need to go through a shutdown sequence for a printer.

Please tell my printer that. It becomes _very_ grumpy if it loses power instead of being shut down via its off button.

And then it turns itself off if it's not used for a while. I hate printers.

A reboot is just a boot after a shutdown. It doesn’t matter what kind of shutdown that is.