If the receiver is on at all (ie, has pad the power button pressed since applying mains power) then "off" is just "display off" - everything else is running and Trio, etc could wake up in response to anything you wanted to send them, if they had the programming.

If the player has just had power physically applied, then I'm afraid the CPU is not running and cannot be woken by the network. A hardware mod could probably fix this, but it may not be worth it.

Hugo