> AI, ML, and NLP and webdesign are application areas
On first thought, I do agree. However, they are fundamental applications. Category Theory is categorizing the fundamentals. It uses a lot of the fundamentals on itself, I guess, but that doesn't mean ti me it's inaccessible or useless.
Don't confuse "important" with "fundamental". He probably meant foundational to begin with.
The web for instance is an unholy mess. We can do better for mass electronic publishing. We don't because that huge pile of crap is already there, and it's so damn useful.