I own the paper. First, the line you wish me to pay close attention to merely says that the results don't "appear" to be from "the more obvious flaws of previous research", which could mean they result from flaws. Indeed, the very next line is "I have argued that this does not justify concluding that anomalous cognition has been demonstrated". Hyman writes in this paper ("Evaluation of the program on anomalous mental phenomena") that the SAIC program is too new, and too secretive to conclude much of anything and more investigation needed. That was in 1995, and in subsequent work he did indeed find problems as did others, and the program's flaws were explained.Ah, I'm getting quite good at searching and here's the quote of Ray Hyman.
Here is Ray Hyman's exact quote (note he is still totally anti-paranormal but pay close attention to the last sentence):
Obviously, I do not believe that the contemporary findings of parapsychology, [...] justify concluding that anomalous mental phenomena have been proven. [...] [A]cceptable evidence for the presence of anomalous cognition must be based on a positive theory that tells us when psi should and should not be present. Until we have such a theory, the claim that anomalous cognition has been demonstrated is empty.[...] I want to state that I believe that the SAIC experiments as well as the contemporary ganzfeld experiments display methodological and statistical sophistication well above previous parapsychological research. Despite better controls and careful use of statistical inference, the investigators seem to be getting significant results that do not appear to derive from the more obvious flaws of previous research.
Ray Hyman, The Journal of Parapsychology, December 1995[22]
Moreover, you are not quoting from him, but from a source that has deliberately chosen just which work and from it which words to quote. I know because whatever work you quote from cites this quote as reference 22 (of that chapter, article, paper, or whatever). When you are trying to determine what the opposition says, you don't look at what the proponents claim them to have said. You look at what they really say.