I'll take the liberty of rephrasing jerf's comment: this is the sort of paper I'll be more likely to believe after it's been reproduced by multiple labs. Until then, I'd just as soon not even be told about it.
It sounds too much like any number of "xxx affected by cell phone radiation!!1!!" results that historically have given rise to much panic, intense discussion, and clicking of links, but have never, ever, ever proven to be consistently replicable. At some point, skepticism and even a bit of "HN negativity," as you put it, becomes the most rational response to initial reports of such phenomena.
My point is more that there are differing levels of the prior probability of a study being true. Yes, 'xxx affected by cell phones' stories are bunk, however, those stories tend not to be published in Nature Methods, tend not to come out of highly respected laboratories, and tend not to have voluminous documentation and results, with 9 Supplementary Figures.
I've been reading this paper closely over the past 30 minutes, it's important enough that I'm sure it'll be heavily discussed at conferences and meetings this year. I can't think of a single thing that these researchers could have done that they haven't done. They've approached the question carefully, looked into a ton of second-order explanations and effects, and provided a plausible discussion of how and why they see their effects.
It sounds too much like any number of "xxx affected by cell phone radiation!!1!!" results that historically have given rise to much panic, intense discussion, and clicking of links, but have never, ever, ever proven to be consistently replicable. At some point, skepticism and even a bit of "HN negativity," as you put it, becomes the most rational response to initial reports of such phenomena.