I'm actually using an old iPad mini that just always stays at home, but that was a good idea to check! Unfortunately, all appears OK there too, as well. (It may have been locked for too long and I'm not sure if that prevents it from really acting as a hub--not sure if it eventually stops connecting to Wi-Fi until its woken up or something--so we'll see next time I leave home.)
EDIT: Seemed to work the next couple times I came home (within a few hours after doing this), but now doesn't seem to be working anymore. Maybe my iPad/hub went into too much of a "deep sleep" again. I'll see next time I get home if it works for a while again after I wake it up. If so and this is the cause, this won't be a good solution for me but presumably would work better for those with an AppleTV (which I don't want to get just for this).