I believe that sometimes the real problem in such cases is obscured when people try to find a middle way. The real problem, what people may really be unclear about, is the main categories--the two initial categories--they were unsatisfied with. This is what they need to clarify. Instead, their focus is on some imaginary shady middle category that they really cannot see very well at all.
It is I think the best policy, in many such cases, to turn our attention back to the primary categories--to begin again. When we do this we can find, and do often find, what we really need, and what we are really interested in. For one thing, we may discover that the categories we began with--each of them--might not be all that homogenous. (We may find, for instance, that in different cases being true or being false means different things, or that there are deeply different kinds of theory and deeply different kinds of therapy.)
The unclarity--the real problem--is often about the variety I just mentioned, and it would be useful if the discussion was focused on this rather than on the imaginary third category. When we focus on that shady middle alternative, we lose track of what we are unclear about in the first place.