The paper is absolutely awful. Not that the conclusion is wrong but just the science is pretty average. In their own words:
"Our study design cannot provide evidence for causality between androgen levels and athletic performance, but can indicate associations between androgen concentrations and athletic performance. "
There are a lot of confounding factors in terms of performance, not least virtually everyone was doped up at Daegu and Moscow... but also championship performances aren't always indicative of actual ability (see Semenya for case and point... it's clear she's not trying)
It's a bit of a weak case really, I hope they bring more to the CAS hearing than just this or the liberal adjudicators will chuck it out and this farce will continue.