I didn't know so many people would have a problem with that sentence. I thought it was clear that I was merely playing devil's advocate. It's not horrible reasoning. It's merely a question that I thought should be raised.
But it's confusing to use a word like "choose" and then immediately say "outside of their direct control".
On reflection, I think the point that you were trying to make was something like:
"Regardless of whether the cause is societal pressure, neurobiology, or personal choices, women are potentially suffering from lower pay."
I liked the article before the conclusion, however.
Person1: "My house washed away!" Person2: "I have found the cause: it was that hurricane last night. My work here is done; glad I could help; you are very welcome."