Strict semi-scaledness conjecture for single-blocker Master-Hits

Let $(a,b,m,n)$ be a primitive Master-Hit with semi-scaled fibration coordinates $(g_+,g_-)$. A hit is strictly semi-scaled when

$$\min(g_+,g_-)=1\quad\text{and}\quad\max(g_+,g_-)>1.$$

Strict semi-scaledness conjecture. Every primitive Master-Hit $(a,b,m,n)$ with exactly one exponent-one blocker satisfies

$$\min(g_+,g_-)=1\quad\text{and}\quad\max(g_+,g_-)>1.$$

The paper notes that the converse fails: many strictly semi-scaled hits have several blockers. Thus the conjecture asserts only the forward implication from having exactly one exponent-one blocker, and remains an empirical open claim.