Well, as I'd have thought, the computer was asleep when I woke up.
Still wondering though - first, I never wake my computer remotely - that is for the sake of waking it. But are there other reasons, such as another computer on my home network wanting to print to the USB printer connected to it, that it would be good to have the computer "wakeable?"
Second, still not sure why I'd forever had the network controller set to wake the computer and it would sleep for long periods, and now that stopped happening.
I looked at my event viewer back to a time I was out of town for a few days and the computer tended to, once asleep, stay asleep for 3-6 hours before waking.