Geometric section conjecture for the boundary divisor $D_2$

Let $A^*({\overline{\mathcal{M}}}_{0,2}({\mathbb P}^1,2))$ denote the Chow ring of the moduli space of stable maps, let $L_1$ and $L_2$ be the cotangent line bundles associated with the two marked points, and let $D_2$ be the boundary divisor. Geometric section conjecture. There exists a section $s$ of the line bundle $L_1\* L_2$ on $A^*({\overline{\mathcal{M}}}_{0,2}({\mathbb P}^1,2))$ whose zero stack is the boundary divisor $D_2$. The proposed section would give a geometric explanation for the relation $D_2-\psi_1-\psi_2$ and replace the paper's localization and linear-algebra argument; the source does not establish its existence.