I don't see why that's a problem with FP and not just the lack of tooling in most FP languages. Debugging in F# via Visual Studio is a breeze, and OCaml's time travelling debugger looks pretty good.
do
x <- newIORef 0
writeIORef x 2
print =<< readIORef x
will print 2. In fact, I'd argue that many times writing programs with mutable state is actually easier in Haskell/etc, especially when it comes to concurrency where something like software transactional memory [0] is invaluable (and more or less practically unusable in other ecosystems), if it fits your constraints.[0] https://en.wikipedia.org/wiki/Software_transactional_memory
The notion of monad comes from category theory [...] It first arose in the area of homological algebra, but later was recognised (due to the work of Kleisli and of Eilenberg and Moore) to have much wider applications. Its importance emerged slowly: in early days, it was not even given a proper name, but called simply a "standard construction" or a "triple" [...] Eugenio Moggi proposed that monads provide a useful structuring tool for denotational semantics [...] He showed how lambda calculus could be given call-by-value and call-by-name semantics in an arbitrary monad, and how monads could encapsulate a wide variety of programming language features such as state, exception handling, and continuations. Independent of Moggi, but at about the same time, Michael Spivey proposed that monads provide a useful structuring tool for exception handling in pure functional languages, and demonstrated this thesis with an elegant program for term rewriting [...]. He showed how monads could treat exceptions [...] and non-deterministic choice [...] in a common framework.
[1] P. Wadler, The essence of functional programming.
The biggest problem of very functional code on the web is simply debugging it. So much control flow is buried in compositions that there isn’t much to grab on in terms of break points or variable inspection. Pure languages exacerbate this problem by making state more difficult to dig out and pin down at run-time.