No, he was fired because he was speaking about things he is not an expert and was a dick about it and made his company look bad. Imagine if Damore (sorry...Edward) had been forced to accept some social scientist's interpretation of computer science. The uproar would be unimaginable.
Knowledge and expertise is transferable to aid in developing understanding of a new area of thought, however knowledge and expertise in one area is not automatically transferable to expertise in another area.