Went through quite an ordeal getting my mid-2012 mbpr repaired. Was having random freezes/restarts when playing video - classic early video failure symptoms, but not frequent enough to guarantee them occurring during the Apple Store "test". As others have said, this test is a complete joke and clearly not designed to stress the machine in any significant way. If you're relying on this test to qualify you, don't -- you basically need to show your machine's video going nuts or shutting down in front of someone to qualify for the extended program, unless your machine is so far gone that you can predict it will fail in any given 15-minute window.
When I reiterated that I was 98% sure this was the video issue based on my extensive reading about the symptoms, they suggested I send it to their repair facility for additional testing. I hoped that they might have more sophisticated or appropriate methods available there. They assured me that they would call with the results of the testing and offer me a choice to pay for a new logic board if they couldn't find a video error themselves. I made sure to confirm I was not authorizing any paid work in advance, because I didn't want to send them a laptop saying "please fix this under your remediation program, but if you want to bill me anyway, that's cool" for obvious reasons. I wanted to hear what they had to say, and then I'd decide whether to pay them the $310 or not.
Five days later I got a call saying my machine was back. I thought they must have confirmed the video problem and replaced the logic board, since I hadn't heard from them about any diagnosis. But when I arrived at the store, they said I owed them $310 - they had replaced the logic board after not identifying the issue. They had also weirdly enough replaced the upper clamshell and the magsafe power board - neither of which I had requested, but their tests had apparently identified issues with both (I hadn't noticed anything in everyday use). The repair center charges a flat rate of $310 whether they fix one problem or several, they told me - and since the total value of these repairs was pushing $1k, I should be thrilled it was so cheap.
I replied that I had never authorized ANY paid work to my machine, I was simply hoping for a more thorough diagnosis by more experienced techs at the repair center, and I had been assured that I would have an opportunity to say yes or no to any paid work they suggested. This resulted in about a half hour standoff with a series of employees and finally the manager, which finally resulted in them canceling the bill. They finally admitted that not getting my OK before making paid repairs was their mistake, and that they'd have to eat the charge. They were reluctant until the end, and tried to make me feel like I was the jerk for not going along with their bait and switch.
Lessons? Even though Apple has technically admitted a defect, it is not trying very hard to fulfill on it - don't expect anyone to take your word for it, and don't expect a useful test in the store. I'd suggest using your own test (maybe one of the video stressors suggested upthread) and trying to convince a genius that you have nothing to gain by asking for a new logic board if yours was working properly. Be persistent - they've been dug in for a long time on this issue, but they're in the wrong, and I think enough people know they're in the wrong that they'll have to do the right thing eventually.