I still maintain that this is a battle that is not the right one to fight. Cucumber, and tools like it, absolutely are testing tools -- IF people realize that testing is both a design and an execution activity. Cucumber helps the former aspect of that, which is predicated upon communication and collaboration. This notion of an either-or dichotomy is a perfect example of the Tyranny of the Or.
Part of it, in my opinion, is also the name, which does nothing to brand itself. (I was heavily opinionated about that here --
http://testerstories.com/put-thought-into-naming-your-test-tools/. Even while I admit I probably made my own mistakes in that category.) It also doesn't help that "The Cucumber Book" repeatedly talks about Cucumber as if it were a testing tool, even using that exact terminology. Section 4.5 in the book has the sentence "Cucumber is a testing tool..." Given that many people learned about Cucumber from that book, it's hardly surprising how people view it.
All that said, I agree with this statement in your post: "When Cucumber is adopted solely as a tool to write automated tests without any input from business analysts they tend to become imperative and lose their documentation value."
I completely agree with that. However, using that as a way to say Cucumber is not (in part) a testing tool is where the discussion goes off the track for me. What you are saying with that quote is "When Cucumber is used solely as a test execution tool ..." What I'm saying is that the corollary would be: "When Cucumber is used as a test design tool ..." Requirements written as tests is an effective and efficient way to provide a shared notion of quality and a driver to development.
I agree that Cucumber is a collaboration tool. It's also a testing tool. People should be able to hold those ideas in their mind without conflict. What is required is a nuanced view of what testing entails. In my experience, it's the fact that Cucumber, and tools like it, try to set up a dichotomy that leads to conceptual problems. I've had opportunities to implement specification-by-example and test specification concepts (along with tools like Cucumber, Behat, SpecFlow, and Yadda) in hedge fund firms, clinical trial firms, banking firms, health insurance firms, decisioning-based ad serving firms, and even at Oracle (where they were dead set against the ideas initially). This was done by making it quite clear that such tools were, in part, testing tools -- but with the added focus that testing was a design activity, thus moving testing to the one phase where it often does the most good -- the initial communication and collaboration phase where ideas are elaborated.