I haven’t thrown anything away. I think it’s important to highlight that there are two primary themes. One is objective reality, the other is the statements/declarations/propositions that are made on this reality and how they are evaluated (whether true, false, close to true, or describe by some other position on a true/false spectrum). A proposition about reality is not equivalent to reality. Various forms of logic allow us to analyze our propositions. In many (but not all) cases there are inferences that are made from analysis of these propositions about reality. This usually occurs when there is some isomorphism between those propositions and reality.
My comments about logic and fuzzy logic are about ways of analyzing and evaluating propositions. These propositions, while useful for analyzing reality are not reality themself. I am not projecting fuzzy logic as reality, but like other forms of logic (such as Boolean logic) is a tool that is employed in studying reality.
Our communication on reality is inescapably tied to propositions. There’s not much that we can communicate without using various forms of language (gestures, verbal and written words, numbers, and so on) and constructing propositions with it. Even though they are bound to each other, they are not the same as each other.