Well, seeing as thought one has been sleeping during the night and therefor fasted and in a catabolic state you would be doing more harm than good. Your muscles are breaking down due to being fasted and if you go and workout you are doing further damage. Your body is a machine and needs some sort or fuel in order to perform optimally, in this case build muscle, or at least maintain it.
Im always sceptical of articles as a lot of the time we have no idea what is based on, who the theories were tested on and who it was written by. And after all my time at this, even if the article is credible everyone is going to react to something different. But at the end of the day weight training while fasted=not productive.