Maybe I'm not interpreting the results correctly, but does this mean that published attacks place AES-256 in a weaker position than AES-128?
I skimmed the paper and they don't mention AES-128, and I assume that if it worked on AES-128 they would have mentioned it, but they don't. So maybe. Probably would need to email the authors and ask.
I'm guessing that they don't mention AES-128 because the attack simply doesn't work against the 128 bit key schedule for reasons related to the increased difficulty of attacking AES-192 with this technique.