I can confirm that this story is true.
I have a 27" iMac (late 2012, iMac13,2) and it has had a failed hinge spring for perhaps a year now. Previously not covered. I contacted Apple today and they indicated that it was covered under warranty and told me to bring it in, no further questions asked.
This is good news because I was cranky about this weak hinge design and considered it a design defect. Apparently Apple did too. I will update if there is a problem with the repair, but I don't expect there to be. I have a case number with an agreement in writing.
Just to follow up:
I took my iMac in and the hinge was repaired, out of warranty, under the quality program. I spoke to Apple Support before I brought the iMac into the store to confirm they would cover it so I did not have to make a trip needlessly.
If I was paying out of pocket the repair would have cost in the neighborhood of CA$150.