Some years ago, I met a company in Taiwan who were selling electrical socket where you could schedule a power on/off, and also could be controllable through IP (ie ; send a command remotely to turn on/off specific sockets). (I’ll try to find again who they were but I guess you could find on google too)
The idea was not to use it to turn the media player off (because if you cut the power of a media player just like that, chances are that its motherboard won’t like it for long…), but to say “At 8am, turn the power back on”, and - as Seb said - with a media player that has “auto power-on when power comes back” feature in its BIOS (also called Restore on AC/Power Loss), then it will automatically boot up.
So, yes, all of that is not related to Intuiface per say… But ; you could find some scenarios where Intuiface could be used to control these sockets too (turn on/off electricity of specific “devices”… door? simple light bulbs? screen?..)