That's nice and easy to say but when it comes down to actually drawing out the proportions of sex and society, there are simply too many factors to control to make any kind of conclusive, scientific statement.
Furthermore, the idea that society has played no role (or even an insigificant role) in the massive gap in prominence between male and female athletes is absurd. The potential of a female athlete is stifled at all ages, which is only compounded by the fact that their opponents are, generally, similarly stifled female athletes. Chess provides a pretty decent case study for this, where a large gap continues to exist between male and female (although with an increasingly large list of exceptions).
"The highest level of funding" simply does not go to an all-female soccer team. Nobody watches women's soccer, so there's little funding at the top level and increasingly less at every other subsequent level. This, in conjunction with a society that, by and large, has only come around to the idea of female athletes outside of a select few areas relatively recently, means that women are exponentially less likely to experience the kind of pressurized environment that produces a top tier athlete.
