It’s not about accepting their PC view of the world it’s about throwing it back in their faces.
Try this...use the term "chairwoman" instead of "chair" or "chairperson" (or "spokeswoman", etc), then after they squirm, ask them to explain how exactly you're wrong in using the un-PC words. They'll have to either admit their pettiness, or more likely begin calling you names, which is how you can always tell that you've won an argument against a liberal.
Scouts Out! Cavalry Ho!