I think we're just using different definitions. The only real definition of an array I've encountered in work and school is that it's just a one dimensional collection of elements, usually of static size. A vector depending on context is usually the same thing as an array but you conveniently change the size dynamically. Lists can whatever you need it to be given the context, just needs to be sequential.

Of course you can represent higher dimension structures by linearizing indices (x + row_size * y, etc).

I think people are getting confused as most don't consider arrays to be arbitrarily dimensional without some scheme.

Completely off topic but you've reminded me of this great article: https://hypirion.com/musings/understanding-persistent-vector...