They said outright that they'd got my information from posts at the Apple Support Forums.
A second call said outright that they were sure the machines they'd tested so far complied with their specifications, and that other RAM must not be compliant.
A third contact hinted that they might consider changes that might allow cheaper RAM to work without problems.
Thank you for the response.
I just want to let people know that this problem occurs not only with 16GB or third-party RAMs. It does happen with less than 16GB and Apple-installed RAM.
I purchased a build-to-order iMac 27 2.93 GHz Intel Core i7 (1 TB HDD, 8 GB memory) in August. The random shutdowns started in September, once or twice a week. In November, I sent it in to the Apple Authorized Service Provider where they replaced the power supply unit. The iMac shut down in 15 minutes after returning from the repair. I sent it to repair again in December, they replaced the PSU again, and the iMac shut down one day after it came back. So, I took the advices on the Apple Support Discussion and switched my factory-installed 8GB Micron Technology RAMs to Samsung RAMs, and all my problems were solved instantly.
Here is the summary of my observations:
1) Memory-related random shutdowns can occur with Apple-installed memories. Apple uses OEM RAMs of three manufacturers: Samsung, Hynix, and Micron. Apparently, back in August 2010, Micron RAMs did not quite meet the Apple specs.
2) Memory-related random shutdowns can occur with any amount of memories. If you read through the Apple Support Discussions carefully, there are reports of shutdowns occurring with 4, 8, 12, and 16GB. However, overwhelming numbers of reports are from people who upgraded to 16GB. I speculate this is because the people who upgrade their own memory can clearly see the cause-effect: replacing memories results in shutdowns.
3) Incompatibilities are reported with third party RAMs from OWC (NuRam), Crucial, Transcend, and Corsair. Incompatibility is not reported with Samsung. Its also been reported that 16GB Samsung works fine.
4) Incompatibilities do not show up on Apple Hardware Test or other RAM tests like Rember. Exactly why the RAM incompatibility makes the iMac shutdown is unknown.
Ive been a Mac user for 20 years, and Ive been able to solve most Mac problems on my own, or a call to the Apple Support would have fixed things. Apple does not seem to want to make this RAM issue official (I can understand if its the RAM manufacturers problem), and if it were not for the collective intelligence on the Internet, I would have never figured this out. So I thank all the people who posed about this problem, speculated on the cause, and struggled to come up with a remedy. I hope this helps others with this problem.