I think a lot more work needs to be done in quantifying "cognitive empathy" before we can begin to do studies like this. Their methodology for quantification of something so complex is extremely primitive.
I agree. At least the authors are more modest about the findings than the headline:
> “[...] it’s important to note that the absence of evidence is not evidence of absence. We found that there is no evidence to support this effect of testosterone, but that doesn’t rule out any possible effects. From what we know, though, it seems that if testosterone does have an influence, the effect is complex, not linear. Reality is typically not that simple.”
