Recursion indeed can be useful when working with trees or graphs. However, I don't like using recursion instead of a loop, because you make reader to unroll your code in their head to understand what it really does. If you need to add two arrays of numbers, use loop or array addition, but don't use recursion as a replacement for a loop.

Sadly the article uses a poor example, writing a useless factorial function. I have never needed such a function in production code, and if I needed, I would write it using a loop. Using bad examples like this might create an impression that recursion is not useful in real code (which is wrong). It would be better if you have used an example that looks like real code and that would become less readable without recursion.