This is what you get with low level support - they know nothing of the slightest value to anyone with more than a passing interest in their machines.
But, the issue is complex, from a technical perspective and a business perspective. I have two 3TB Seagate drives. One never has the slightest problem, and the other ejects within minutes of heavy use every time.
Neither has any problems on Windows machines. So, what's the problem? There have been many theories in this thread, but narrowing down the precise cause has eluded us.
I wonder whether Apple is ignoring us the same way they would if w started complaining about a floppy drive or the optical drive, i.e., because these technologies were/are on their way out and not worth following up on. That is the direction some of this thread has taken, and while it puts us in an unenviable position, I suspect this is the case.
It just occured to me that I haven't yet tried to fill my "bad" drive from my Win 8 Bootcamp partition. It never ejects from a Windows desktop machine I built, but I haven't tried it with Win 8 on Mac hardware. I'll see if I can find the time for it, just out of curiosity.
Anyway, I have decided to get NAS drives, as suggested above, and give up on this porblem that has persisted from Snow Leopard to Mountain Lion. I'm pretty sure we'll never know the answer, the problem will never be solved, and this thread will be like arguing over how phlogiston works.
It just doesn't matter any more, whether we like it or not - I fear.