"Science" is already a very vague term, and I think it's important to keep it as concrete as possible in meaning. In my mind, science is associated with testable hypotheses. The generation of hypotheses could be considered part of science, but only if those hypotheses are testable, and in fact tested through experimentation. Otherwise you are simply making guesses. I think this article falls into the "guessing" category.

I don't want "prescientific" to be seen as derogatory, though, which I think may confuse people. It's an important stage in the development of a field of thought. As they say, a field of human endeavor progresses through three stages as our understanding grows: first it's a philosophy, then a science, then an art.

It's only once people start saying anything and everything that improves human knowledge is "science" that "unscientific" becomes insulting. I think, if we keep the meaning of "science" concrete and explicit, then we can acknowledge that there are unscientific ways of learning and advancing without sounding insulting.