Odd-parameter asymptotic separation

Determine whether the odd-N complete-graph incidence family exhibits a cubic asymptotic separation between z_2 and z_{wL} analogous to the separation established for even N.

Background

Löfberg and Qi established a cubic separation between the second-order and weak limited augmented Zarankiewicz numbers in the even-N setting. The paper asks whether an analogous phenomenon occurs for the odd-N branch of the incidence family.