There is another article about FizzBuzz I wrote roughly 5 years ago (forgive the pronouns, I need to rebuild the site and I'm procrastinating on the css).

http://dave.fayr.am/posts/2012-10-4-finding-fizzbuzz.html

This uses a slightly different set of abstractions with the same problem.

But perhaps more specifically, when you select a monad stack (group of effects) to compose to solve a problem you're building the features of the language and its effects. And if you use the "final tagless" or "Free" approaches you're doing that even more directly.