It might seem offtopic, but maybe it's not.
I've just read this interesting article about HDMI cable quality, from a seemingly very knowledgable person:
http://news.cnet.com/8301-17938_105-20056502-1/why-all-hdmi-cables-are-the-same/
particularly this part about cable failure symptoms is interesting:
"(…) Another potential "fail" is a failure of the HDCP copy protection, which shows up as a total snowy image, a blinking image, or something else hard to miss."
This is mentioned in the last paragraph of the "video" section, right above the "audio" section.
I'm inclined to think this could be a HDMI "handshake" problem. Since the same symptoms we are seeing can occur with a faulty HDMI cable that has TMDS failures in its HDCP channel, I guess this could very well be hardware related, thus not fixable with a firmware update. Maybe a manufacturing defect/imperfection somewhere in the internal wiring of a batch of Intel HD4000 GPU's?
Apparently there are people with new mac mini's that don't have issues. Also, people without issues are not very likely to respond to this thread. Also the fact that Apple is collecting faulty minimacs to investigate the problem indicates they can't replicate it with some macmini's that roll out the factory. Some people have it very more frequent and/or longer lasting then others. That could indicate varying degrees of manufacturing defects. If it were a firmware issue, wouldn't we all have the same results?
I myself only have the blinking a few times a day, sometimes blackouts, sometimes blue screens, but without the snow many of you report. The blue screens I see, are by the way similar to what you see the moment you connect/disconnect a second monitor. As if the mac mini is fooled in thinking a screen was disconnected and then connected again immediately.
Don't know, I'm not an expert, just thinking out loud; but since these HD4000 issues are reported on Intel forums since June, and still not solved by updated BIOS version 1.6
http://communities.intel.com/message/171244
I wouldn't assume that it is most probably a firmware issue that can be fixed in the near future.
I wish I were wrong, but at the moment my hopes for a magical apple update fix, is not very high.
Tuesday I'll have my machine 14days, so I need to decide now if I'm going for a refund.
I absolutely want to like my new machine, but right now I think it's more wise to send it back.
Any experts on HDMI handshake that could chime in?