Hi Barbara
Again, many scenarios make troubleshooting difficult, but all these stories seem to point to Apple hardware or firmware.
To reply to your description, my troubles have always occurred in a 4-bay enclosure (OWC Elite Pro QX2, with Hitachi HDDs). While troubleshooting over the past year, I tried those exact same HDDs in separate enclosures, up to four daisy-chained, with NO issues. Note that others on this thread do have issues with individual standalone HDDs.
You might think that would point to the 4-bay enclosure, but I had it replaced twice (warranty), and each time it worked fine for an extended period of time. Until it didn't. That last time it started going crazy immediately after I updated to iOS 9.2 (via iTunes).
Since the last enclosure replacement (3 months), there have been no issues. But I'm still reluctant to update iTunes for now.
I'm fairly detached from everything: no Cloud, Apple Music, Sync or WiFi. No Time Machine or Spotlight.
I still think that there is a voltage mismatch between two sensitive ports â or port drivers â that causes the eject. I'm not even sure the HDD is actually ejecting, since it reappears. But that's a gamble we can't take.
If this thread is any indication, it appears that Apple has looked at it, cannot replicate the problem, and have closed the case.
Not good.
On the other hand, I've no problems for now.