[Paper] Is a DataFrame Just a Table?

This paper has been making the rounds, most recently on Hacker News:

https://plateau-workshop.org/assets/papers-2019/10.pdf

I fall on the 'Yes' side, that a dataframe is just a table, but it's interesting to read the arguments from the other. Specifically, that the ordering and matrix-like operations are a feature (as opposed to a code smell which I've always thought of using R and pandas dataframes that way)