I may have a bit of excessive taste for melodrama, please forgive.
In my experience, most scientists who are qualified to review a paper will be able to infer the name of the researcher behind it, based solely on the content.
Your point isn't just anecdotal, the original Nature editorial mentions a study: "Referees could identify at least one of the authors on about 40% of the papers, undermining the raison d'être for double-blinding."
http://www.nature.com/nature/journal/v451/n7179/full/451605b...
But sexism is probably a problem with female names one doesn't recognize, not females whose work one is familiar with (anecdotal, but I'm sure I could find studies on prejudice/discrimination), so double-blind review would still help.
Still, we're talking on different premises: I think it's important both for publishers to strive for fairness in publishing and for researchers to demand a unceasing effort towards general progress in publishing. The real problem is a lack of dedication to thought about the best way to organize research, which, if I understand correctly, is the biggest value added by the journals. Why is it that the closest thing to thinking about organizing research on a macro level is one of Nature's 17 blogs (is it really just as important as the Avian Flu)?
http://blogs.nature.com/
Why is there so little thought about how it is we organize our research? Is it just because old business models stand in the way? Is it because those that benefit from the status quo have undue influence?