Vanishing conjecture for non-contributing Seifert stationary points

Let $X$ be a Seifert manifold with base $S^2$, and let $(l,\underline{n}')\in\mathcal I_2^b$. Suppose that there do not exist elements $g_1,\ldots,g_n\in\operatorname{SU}(2)$ satisfying the condition referred to in the source as (genus0condition'). Non-contributing-point vanishing conjecture.

$$Z_1^{(l,\underline{n}')}(r)=0.$$

This vanishing is the remaining step identified in the paper for completing the asymptotic expansion conjecture in the genus-zero Seifert case. The notation for the referenced condition is not included in the supplied excerpt, so its precise content should be checked against the source.