Actually, no it doesn't. The poll is missing 99.9% of people who have purchased the new Mac Mini and the method used is not probabilistic. That means it can easily be misleading.
It speaks for itself that some people are clearly having issues with HDMI, as do the pages on the Apple Support Communities. Very few seem to be affected by MDP/Thunderbolt display issues. Of course we don't have a full sample of how many Mac Minis have been sold or of those, how many people are affected (or even using just HDMI) but it does say some people here are clearly having issues; so if you buy a Mac Mini there is a chance you will have the HDMI issue too.
That was my point.
You and I don't know how likely one is to experience that issue, no-one outside of Apple and Intel do. A percentage of units sold will have regular hardware faults, like any technology does. However, there are rumblings across platforms (Windows and Linux, as well as OS X) about this very issue so something, it seems, isn't right and it's affecting people who use HDMI. Whether it's hardware or software, I don't know.
People are free to make their own choices and judgements, I'm someone who has directly experienced the problem and has to drive a long way to the Apple Store, just like the OP, so I empathised with the situation.
It's her money, her decision. If a friend asks whether they should buy a 2012 Mac Mini to use with HDMI I'll give my same opinion; no.
MrXiro, some people are getting longer than a few seconds, I had a loop of them that lasted for several seconds each and some people have to power off their screens, others have reported that they've had to restart their Minis to clear them.