Good news everyone - after a few days of communicating with the Gigabyte warranty manager in Australia (who was extremely helpful), I can now say that Gigabyte is working on a fix to solve this noise problem.
When I brought my UD3R motherboard in 3 days ago for them to examine, Gigabyte staff finally confirmed that they could hear the noise.
Apparently, it was the first time that Gigabyte staff heard the noise coming from a X58A. In the past, people have RMA'd their noisy X58A motherboards, but Gigabyte staff could not hear the noise, because of 3 factors:
1) The technicians work in a room that is quite noisy, there are fans etc on all the time. Even I had a hard time hearing the noise when I was in their testing room. We had to put our ears right next to the area that was making the noise, in order to hear it. So it would have been easy for the technicians to miss the noise.
2) Some people simply cannot hear high-pitch noises well. Apparently the technicians in general are unlikely to hear high-pitch noises, because they have been exposed to noise all the time in their work environment, which makes them less likely to notice soft noises coming from a motherboard.
3) Gigabyte uses Windows Vista to test their motherboards, not the latest OS Windows 7. It could be that the noise only occurs when running certain operating systems, and not when running Windows Vista.
Since the noise problem is now officially confirmed by Gigabyte, the research department in Gigabyte headquarters has been informed about the problem. Apparently the research team thinks that they can fix the noise, by tweaking the BIOS of the motherboards.
I've been told that Gigabyte will be working on a BIOS update to fix the noise problem on the UD3R Revision 1.0 first, then the UD7. These BIOS updates could be ready by next week. They will then gradually fix the BIOS of the remaining X58A motherboards.
Personally, I am not sure whether a BIOS update can fix this noise problem. From what I can see, it is a hardware issue - the chokes (black cubes near the CPU slot) vibrate when there are fluctuations in the CPU voltage, and the vibrations give off the noise. I'd be interested to see how a BIOS update can stop the vibrations from happening, without disrupting the efficient power management of the i7 CPU.
But at least we now know that Gigabyte is trying to fix the problem.
Please note that I am simply passing on information I got from discussions with Gigabyte, since there are many people out there who (like me) are upset by the noise, and would like to know any information about a possible fix. There is no guarantee that the problem will be fixed, until we see the BIOS updates and test them out. But at least there is some hope, for now.