I consider myself to be a good writer. I don't see how post-secondary English education would improve my writing at all. Also, I don't think that documenting code requires the same skill set as writing a poem, novel, or even an essay. Perhaps a course in Technical Writing would directly apply to code documentation, but even the glimpses of those courses I've had didn't seem relevant to software development beyond the obvious admonitions to be clear, concise, etc.

I've known many English majors and graduate students, and I have never gotten the impression that the discipline is focused on communication.