One way to get some intuition with FCIS is to write some Haskell.
Because Haskell programs pretty much have to be FCIS or they won't compile.
How it plays out is...
1. A Haskell program executes side effects (known as `IO` in Haskell). The type of the `main` program is `IO ()`, meaning it does some IO and doesn't return a value - a program is not a function
2. A Haskell program (code with type `IO`) can call functions. But since functions are pure in Haskell, they can't call code in `IO`.
3. This doesn't actually restrict what you can do but it does influence how you write your code. There are a variety of patterns that weren't well understood until the 1990s or later that enable it. For example, a pure Haskell function can calculate an effectful program to execute. Or it can map a pure function in a side-effecting context. Or it can pipe pure values to a side-effecting stream.
I used to write lots of haskell before deciding it didn't meet my needs. However, the experience provided lots of long-term benefits, including a FCIS design mindset.
Recently, I did a major python refactoring project, converting a prototype/hack/experiment into a production-quality system. The prototype heavily intermixed IO and app logic, and I needed to write unit tests for the production system. Even with fixtures and mocking, unit testing was painful and laborious, so our test coverage was lousy.
Partitioning the core classes into pure and impure components was the big win. Unit testing became trivial and we caught lots of bugs in the original business logic. More recently, we changed the IO from files to a DB and having encapsulated the IO was also a win.
Full algebraic data types wouldn't have added much here. Product types are already everywhere, and we didn't need sum or exponential types.
Splitting IO and pure code was just routine refactoring, not a full redesign. Our app logic wasn't strictly pure because it generates pseudorandom numbers and logs events, but practically speaking, splitting the IO and shell from the relatively pure app logic made for much cleaner code.
In retrospect, I consider FCIS a good practice that I first learned with Haskell. It's valuable elsewhere, even when used in a less formal way than Haskell mandates.
Because Haskell programs pretty much have to be FCIS or they won't compile.
How it plays out is...
1. A Haskell program executes side effects (known as `IO` in Haskell). The type of the `main` program is `IO ()`, meaning it does some IO and doesn't return a value - a program is not a function
2. A Haskell program (code with type `IO`) can call functions. But since functions are pure in Haskell, they can't call code in `IO`.
3. This doesn't actually restrict what you can do but it does influence how you write your code. There are a variety of patterns that weren't well understood until the 1990s or later that enable it. For example, a pure Haskell function can calculate an effectful program to execute. Or it can map a pure function in a side-effecting context. Or it can pipe pure values to a side-effecting stream.