Maybe I'm being too particular, but my problem with this sort of argument is that while it does provide an explanation for a wage gap existing, it still doesn't provide evidence that there is a wage gap. This can have some negative consequences when trying to understand the issue in general and when trying to formulate policy to solve it.

Let's say hypothetically that there was a study that compared earnings while making adjustments for job title, status, etc. and finds there to be no gap in the earnings that men and women make (This study that I linked below essentially says this, but I'm still unsure of this claim until I find more support for it ). However, there exists a large amount of evidence for structural biases that negatively affect women in the workplace. Is there a pay gap in a strict sense? No. Does this mean that gender in the workplace is an issue that should be ignored? Absolutely not. However, instead of saying that women make 77 cents on the dollar and arguing for equal pay, advocates really should focus on structural issues similar to those you mentioned.

Could you post some recent journal articles that provide some statistical evidence in your case? As jonthecyclist mentioned, the study you linked provided a grossly oversimplied analysis from a statistical perspective. Here is a journal article that essentially concludes that the uncertainty in estimating the wage gap is so large that the gap itself can be written off as statistical noise. This is not to say that gender discrimination in the work place does not exist, but purely that there exists no wage gap in a statistical sense. Additionally, this study also was based off of 1998 census data, and it would be interesting to see an application of their model to more recent as well as older data sets.