Because I have been learning about Type Theory, I have become much more aware of and interested in Functional Programming.
If you are unfamiliar with functional programming, Real World Haskell describes functional programming like this:
In Haskell [and other functional languages], we de-emphasise code that modifies data. Instead, we focus on functions that take immutable values as input and produce new values as output. Given the same inputs, these functions always return the same results. This is a core idea behind functional programming.
Along with not modifying data, our Haskell functions usually don't talk to the external world; we call these functions pure. We make a strong distinction between pure code and the parts of our programs that read or write files, communicate over network connections, or make robot arms move. This makes it easier to organize, reason about, and test our programs.
Because of this functional languages have a number of interesting differences with traditional programming. In functional programming:
- Programming is lot more like math. Programs are often elegant and terse.
- It is much easier to reason about programs, including proving things about them (termination, lack of errors etc.). This means compilers have much more room to automatically optimize a program, automatically parallelizing code, merging repeated operations etc.
- Static typing helps (and requires) you find and correct a large fraction of trivial bugs without running the program.
- Pure code means doing things with side effects (like I/O) requires significantly more thought to start to understand, but also makes side effects more explicit.
- Program evaluation is defined much more directly on the syntax of the language.
The problem with your ecosystem argument is that since the creation of ML in the early 1970s and the creation of Haskell-like languages in the mid-1980s many languages (Smalltalk, Perl, Java, Python, Javascript, Ruby, C#) were created that overcame the ecosystem problem. To the argument that none of those languages are as much as departure from the status quo as Haskell and ML are, I respond that object-orientation was a very big change.
You are underestimating the ability of the programming profession to select the best tools and overestimating what functional programming languages can do for the average programmer in industry. The argument that removing mutation from a program will make it easier for the program to exploit multiple cores (what you call "parallelism") for example was made in 1977 in the paper by Backus you link to and has been made constantly since then, but 34 years later, the vast majority of programs that exploits multiple cores do so in ordinary, non-functional languages.
If you have a strong interest in certain areas of math, including Friendliness theory, and you also need to spend a lot of time writing programs, well, then Haskell (or Scheme using functional techniques if static type checking rubs you the wrong way) is probably worth studying because some of the things you learn from Haskell can be used in your math work as well as your programming work.
In contrast, if you just want to make a good living as a programmer, then for you to study Haskell and other functional languages is probably mostly a distraction and not the best way to deliver value to your customers or employers. Concepts and techniques that originate in the functional languages that are useful to you will become available to you when they are added to mainstream languages (e.g., as list comprehensions were added to Python, and e.g., as anonymous functions and first-class functions were added to Javascript).