I've used non reporting extenders on many different lenses and bodies. There is no pattern that I can find to determine what will work with any given body. There is enough variation body to body apparently, that some bodies work, and another body of the same model won't.
My old 40D was one of the best I've seen for focusing at f/8 or even f/11. My 1D MK III would sometimes focus at f/11, but very slow, but manually pre-focus to the approximate area and it would snap in instantly.
You just have to try, but don't overlook manually focusing first, and then seeing if AF will lock on.
My 70-200mm f/4L IS seemed to be pretty good focusing on some bodies at f/8 or even f/11. I could stack a 1.4 and 2X on it and often it will focus fine.
I'm interested in seeing how the 5D MK III does with its -2 EV low light AF capability.