Choosing your path into game design: animator or programmer?

The video serves as an advertisement for a school to provide proper training for students looking to enter into the world of video game design, but for my project, it’s raised a pair of questions for my research. The video points out you will need hours worth of training across many fields, but places the most emphasis on focusing on both animating and programming. However, as I have written in the past, the class taught here has been split up between programmers and animators. Which makes me wonder how truly important it is to know both? If both are seen as crucial needs for an individual’s success, why separate them? And exactly how closely are they working together?