"I am bad at asking for pay rises, as are many women. Hence the reason we are paid less."
Wrong. You might be bad at asking for pay rises, but lots of women aren't bad at it, they're actually very good at it. Because we're socialised to be empathetic, diplomatic and sensitive, we're actually incredibly good at putting forward a reasonable case as to why we deserve a pay rise with all the caveats about the needs of the business etc.
Unfortunately, our reasonable requests are often perceived through the prism of sexism, which means that they are defined as aggressive, ball-breaking uppity bitchiness. So the requests are refused.
When men and women stop seeing women's expectation that they will be valued in the workplace as misplaced arrogance, then we can start focusing on how women ask for pay rises. In the meantime, it's perfectly reasonable to focus on the real reason women don't get pay rises - pure sexism such as that displaced by this sorry CEO.