To defend the website, it can still be argued to be called AI. Rule based methods are still said by some to be a section of AI.

https://en.wikipedia.org/wiki/Rule-based_system

I understand that nowadays when we think of AI we imagine deep learning and neural networks, but nowhere on the website does it claim that that is the case.

Think of ELIZA for example https://en.wikipedia.org/wiki/ELIZA

One of the earliest chatbots. Entirely rule based, but from the historical perspective undeniably classed as AI.