It's not like linq, Erlang, f#, ocaml, or even python func/itertools designers said - we're going to be as pure as possible and functional to get that almost-purity. Some problems are just easier to solve with functional-like approach. Whether you're doing it in a pure way or not doesn't matter. Some languages give you a way to write that functional-like solution. I doubt many think of purity while using them, but problems get solved. And we're still better off than writing nested loops instead.
For example I'm happy with write:
items.filter(f1)
.map(f2)
.map(f3)
.reduce(...
and I really really don't need or want an IO monad to be returned from f2 if it happens to need to log some warnings. It would be completely counterproductive.Are you sure you don't? This means that anything calling your function now produces log entries, but it's not obvious without reading its code.
Allowing side-effects saves you time now, but you might hate yourself later when trying to figure out why code in one part of your codebase is magically affecting code in another part.
If logs are not convincing, then think about profiling. One day you want to know what kind of values are computed by some function. Same story: impure adds stats.record(x), pure requires IO redesign.
What if you call f2 multiple times? What if you call f2 an unpredictable number of times? What if you call f2 in a situation where the logging system isn't initialised?
The parameters and return value are not the only things that matter.
These aren't situations specific to the pure/not issue. You have to know how you deal with them in either case. The uninitialised case it a specific case of: what if your logging target goes away / never existed. Signatures won't help here, because that's a dynamic property of the system.
How the hell do you get to the conconculsion that's it's no more useful than standard imperative programming? That implies that e.g. first class functions do not have merit, which is, excuse me, horseshit.
Lisp doesn't do that and it works wonderful. Same for ML/F#, PerformunsaveIO, Ocaml, you name it.
You just have to remember a few globals and try to keep things uncomplicated. Also, having tests helps a lot.