I'm also confused about you "stray signals". This shouldn't matter for a NAS. I shut mine down using its web client and this requires a
I live in a large apartment building with dozens of lounge windows opening onto a courtyard.
Occasionally the TV spontaneously switches on e.g. at night while I'm asleep or during the day when the apartment is locked. I've attributed this to 'stray' IR remote control signals from another apartment.
My solution is to turn the AV equipment off at the wall when I'm out or asleep.
If I had a NAS it would be plugged into the same power strip.