I would love to see the first diagram with circles coloured according to average wage of the respective occupation. I would expect to see more high-income male occupations and vice versa – a correlation that explains most of the gender pay gap.
Therefore, job position/title is not a confounding factor. Some confounding factors (which are well known and usually accounted for) are length of time at the job, education level and prior experience.
There is still a pay gap of ~5c/dollar adjusted. Non adjusted is 20c/dollar. There is no excuse for the adjusted discrepancy and the unadjusted discrepancy will require the crumbling of boys clubs.