Sure, spatial vectors are used a lot to describe physical laws.  But there's a big difference between saying that and asserting that the only things that are spatial vectors are those described by physical laws.  (Physicists make up unphysical laws all the time to explore ideas, and even for practical purposes such as to define absorbing boundaries in computer simulations.) And this article is explicitly not about elements of any arbitrary vector space: spatial vectors have a specific relationship to spatial coordinate systems.