“Does this item have an auto on feature in case of power outage? I live in Florida where power is knocked out often, even if just briefly, by thunderstorms. My Tivo comes right back on and is ready to record after a brief or long outage. I need the converter box to come on automatically or shows won't record the entire time I'm away on a trip. No one should really have to use the remote or push a button to make the converter come on but the one I got at Radio Shack requires this. Does it or does it not come on automatically when power is restored?”