In spite of the complex rhetoric aimed at dissuading me from finding argument due to your obvious need to prove yourself more adept in the subject, you have stated previously that SHBG and free T are independent. From your statement, "Expand your thinking on the free T computation. Basically there are four variables: SHBG, albumin, free T and total T. If you know any three then you can compute the fourth. My assumptions lead to specifying the first three. If you accept these assumptions then it's ok to think of total T as a dependent variable, a function of the other three, and my other statements are a logical result," it is clear that you are in agreement that SHBG, Albumin, Total T, and Free T have an interdependent relationship and thus affect the outcome of one another regardless of whether it is upstream or downstream.
Your logic is indeed interesting, however, none of its theoretical components prove or disprove that an individual with lower SHBG would or would not excrete testosterone faster than their converse counterparts. Your constructs suggest that the amount of T an individual ingests would match the amount excreted, however, it does not provide evidence for making assumptions among individual differences (i.e. whether or not individuals with lower SHBG indeed excrete faster, regardless of an equal proportion of ingestion and excretion).
