A pipeline operator is just partial application with less power. You should be able to bind any number of arguments to any places in order to create a new function and "pipe" its output(s) to any other number of functions.

One day, we'll (re)discover that partial application is actually incredibly useful for writing programs and (non-Haskell) languages will start with it as the primitive for composing programs instead of finding out that it would be nice later, and bolting on a restricted subset of the feature.