FR: compose_pipe for a more intuitive left-to-right version of compose

I have only recently discovered the composeadverb, so my apologies in advance if a similar feature request has already been made (but I did not find anything when I searched past issues).

First of all, I fully understand and agree with the decision that composeshould compose its input functions from right-to-left as in standard mathematics. I consider this a difficult decision because most tidyverse users would probably prefer a left-to-right implementation, but I agree that the mathematical standard should take precedence.

That said, a right-to-left compose is counterintuitive for tidyverse users like myself who prefer left-to-right pipes. compose(..., .dir = "forward") is an awkward function signature when that is what I would use every time. So, my simple solution is that I have a tiny function in my personal R utilities file:

# purrr::compose with order of functions in left-to-right (pipe) order
compose_pipe <- function(..., .dir = NULL) {  
  if (is.null(.dir)) {
    .dir <- 'forward'
  }
  purrr::compose(..., .dir = .dir)
}

So, this works for me, but I would like to propose to generalize this (or a similar) solution for purrr.

The quick and simple solution would be to add a similar compose_pipe function (or some other name that might be decided) to purrr that defaults to a left-to-right compose. My argument for adding such a function is:

I suspect that 99% of tidyverse programmers who discover this function would always use it and would never use the simple compose. This is simply because compose_pipe uses the intuitive pipe order that tidyverse programmers prefer (and which might very well become predominant among R programmers in general, now that the pipe has become incorporated into base R).
Typing compose_pipe(...) is more compact than typing compose(..., .dir = 'forward'), which would normally require an extra line.
Non-trivially, a name like compose_pipe is perfectly intuitive to programmers who learn about the notion of compose yet who do not know about the mathematical compose function. That is, for those who do not know the mathematical compose function, a function named "compose a pipe" probably makes more sense for a function that combines functions than simply "compose". This is just a hunch, though.
Adding a compose_pipe function involves no change whatsoever to the public-facing interface of the existing compose function, so it would have almost no effect on existing code. Indeed, it would have no effect at all if not for my next point...

If this suggestion is accepted, then I would go further and then suggest that compose_pipe should become the reference implementation and that it should call compose, rather than my current workaround above. This is because if, as I suspect, most programmers would use compose_pipe rather than compose, then it would make sense to make compose_pipe the base call so that it could execute faster, rather than vice versa.

If not for the last suggestion, my suggestion for compose_pipe could have been a simple pull request. But if compose_pipe would become the base function from which the current compose function would be called, then the change would be not quite as trivial (it should still be quite easy, but it would require careful testing).

tidyverse / purrr

FR: compose_pipe for a more intuitive left-to-right version of compose #1056