It is likely a case where only the Power connects to the USB ports remain active when those PCs are powered down.
In other words, the Serial Communications would be shut down.
And in that case, a disk won't be searching, etc.
--Mac
But it could be spinning!
Several of my systems supply USB power when the systems are completely shut down (not standby, hibernation)
So I did a bit of checking. If I connect a removable drive to a computer that supplies USB power when turned off, and the computer is already completely shut down, the disk actually spins up as soon as the USB is connected. Obviously it would be better if the drive needed some form of SATA signal to be present to spin up, but that was not the result I identified.
Other users can check, just place your ear against the drive, you'll be able to hear the spindle rotating.
So even though there is no disk I/O activity, those little bearings are all working away, day and night (or should that be Night and Day?).
If you detect that your drive is spinning all the time, just disconnect the USB plug when shut down.
Incidentally, I looked in the BIOS to see if USB phantom power was a controllable feature, but could not find it.
Regards
Trevor