As someone who does graphic design work for architectural, engineering and construction companies, I would argue the overarching definition for all of the different modalities and skills that have been listed above is not "graphic design" but simply "design."
With that said, many of the concepts flow across all of the different types of design. For example, the architects that I work with frequently have a better intuition about good graphic design than do the construction people--because their training included understanding where to use solid walls vs windows, which can give them a quick understanding of the value of white space in a graphic design piece.
But in answer to the original question, any particular graphic designer can choose whether they believe motion or animation is or should be part of their skillset as a graphic designer. But, they also need to understand their own role in the world. If they are able to earn a living by focusing totally on static design, then motion or animation definitely don't need to be part of their personal definition of graphic design. However, if they begin losing work to other designers who have these skills, then they may, of necessity, have to extend their definition to incorporate these new skills.
I will turn back to the architectural field as an example. Before computer-aided design & drafting (CADD) began to overtake the field in the mid- to late-Eighties, architects would use pencils, pens, rulers and calculators to create architectural drawings. They would manually do all the calculations to make sure the structural elements of the building would be able to hold up the weight of the roof, etc.
I am old enough to have worked for some architects who had been trained in these techniques, and were having trouble making the change over to CADD. They were still effective architects, but everything they did took longer, and was more prone to human error than their CADD-using counterparts. It was incumbent upon them to learn this new skill in order to remain relevant within their industry.
There are a number of "new" skills, techniques, modalities, etc., that are being implemented throughout society everyday. And they frequently impact the work I do as a graphic designer, even though they weren't even on the radar screen when I was studying design even 7 or 8 years ago. I am currently working on learning basic coding, because I don't think a graphic designer can be truly effective at helping to redesign a company website if s/he has no understanding of how coding works.
So, whether or not one specific person believes that a specific skill set is something that they need to know is really going to depend on how much that particular skill set is something that threatens their own ability to continue practicing the work that they do know how to do.