I think I understand your point and honestly I agree with it. I don't really use the Who-question to distinct the kind of test, I mean, obviously it's not the fact that a developer executes a test which makes it a unit test.
I just thought of it as a nice extra information. In my experience it's usually not a customer or an end user who executes unit tests. These people test by clicking through the app or at least it's what I think they do ;-). So the "Who" is more like a weak evidence when you ask how to distinct between kinds of tests.
(I have to admit that I maybe missed the topic a little bit but I like the discussion.)
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