I don't think they have any specific fixed function hw specifically tailored for Checker-board rendering, solely on the basis that that doesn't feel like a very cerny thing to do. When they said they have special hardware to aid that kind of stuff, I understand that they've made certain architectural changes to how rasterization is done or other steps of the pipeline that allow this kind of algorithm to run more optimally.
I'm only going by the digital foundry article, that referred to it as a hardware "upscaler" and Jonathan Blow's comments that seemed to suggest it was a feature that could be turned on/off.
Very possible that it's a number of optimizations that would benefit this approach, rather than a single solution.