I do partial application in Elixir all the time. I have a function `curry/1` which takes any function and gives a curried version of it, and I have a `p` macro which introduces Scala-like "holes" (e.g. `(p Enum.map(list, _))`). The order of arguments still doesn't matter and nothing is broken or impossible because of it. I have also tweaked the (|>) macro (as well as some other operators) to support holes, so that I can "pipe" into whichever position of the call.

I think there are many more severe problems with Elixir which make it not even a remotely functional PL for me (rather, procedural + macros), but arguments order is not one of them.