Matlab's support for more than 2 dimensions in arrays is so bad that it's rare to encounter the situations lamented in TFA.
Yeah, in case anyone else has the misfortune of having to work with multi-dimensional data in MATLAB, I'd recommend the Tensor Toolbox, Tensorlab, or the N-way Toolbox.
There are certainly some aspects of it that are inelegant, in the interests of backwards compatibility, but otherwise I don't know what you are talking about. Matlab supports >2d arrays just fine, and has for at least 20 years.