- That page doesn't check for coverage under the extended repair programme. It just checks which model your machine is and whether it's covered under standard warranty or under AppleCare.
The Video Issues page I linked to just refers to the Check your Coverage tool as a way of identifying your MacBook Pro model. You then have to compare the result with the list of covered models from the Video Issues page.
If your machine comes up as "MacBook Pro (15-inch, Early 2011)" using that page, then it's covered under the programme (as indeed all 2011 models with AMD GPUs are)