This is a step in the right direction. However Walter Mooney (NPR interview) never specifies who he means when he says "we": he might be attempting to represent all geologists everywhere, but it is more likely that he is representing only the experts with the US Geological Survey, and much more likely that he is representing only his colleagues at Menlo Park. There is also the possibility he is representing only his own household (himself, his dog, his cat, and his goldfish), but that is as absurd as thinking that he is speaking for all of Science.
Best guess: Mooney is saying that his group at Menlo Park has not found a way to predict earthquakes by monitoring radon levels. If he had been asked to do so, he would most likely would have been able to easily count off the methods his group explored, and he would most likely have been able to imagine several other possible methods that were not explored for one reason or another.
Main points: Mooney appears to have the background to assess Giuliani's work, and is familiar with similar approaches that have not led anywhere. But he does not offer a critique of Giuliani's work, nor does he say he knows anything about Giuliani's methods. His statement condenses down to "We tried some things that are probably similar to what Giuliani did, and we couldn't make any of them work."
The LA Times story is similar to other rehashes of the story. Basically, it is saying that authorities on earthquake prediction have found that none of the other work to date has shown radon emissions to be good predictors of earthquakes. Again notable for its absence is any statement by any scientist that he has looked at Giuliana's specific methodology and data.
Basically, Giuliani's work is being dismissed in the media based on statements of authority, not on scientific principles. We don't know what Giuliani based his predictions upon (perhaps he was seeing radon spikes a hundred times greater than anyone else had ever seen; perhaps he was seeing a perfect correlation between radon spikes and pre-shocks... who knows?)
Undoubtedly Mooney's group at Menlo Park will review Giuliani's data, methods, and conclusions when these become available. It would be imprudent to do otherwise. So at some point we can expect a judgment based on scientific principles. But that hasn't happened yet.
Yeah, above is a rant. As I get older, I get increasingly intolerant of the failure of intelligent people to use critical reading skills. Especially with regard to confusing the current beliefs of "scientific authorities" with the actual practice of the scientific method. Yeah, reporters are not making the distinction and it would be good if they would do so, but they are simply reporters, fercryinoutloud, not rocket surgeons. Besides, the responsibility for assessing the value of the written word always belongs to the reader, and cannot be reassigned.