Broad vanishing conjecture for cosection-localized GLSM virtual classes

Let $X$ be a GLSM target, let $X^{\mathrm{ct}}\subset X$ be the zero section, and let $Z^{\epsilon}_{g,n,\beta}$ be the relevant moduli space with cosection-localized virtual class. For $\phi\in H^*_{\mathrm{CR}}(X)$ satisfying

e\bigl(T_{\overline{\mathcal{I}}X/\overline{\mathcal{I}}X^{\mathrm{ct}}\bigr)\phi=0,

where $e$ denotes the Euler class, consider the evaluation maps $\operatorname{ev}_i$.

Broad vanishing conjecture. For every $i\in\{1,\ldots,n\}$,

$$\operatorname{ev}_i^*(\phi)\cap[Z^{\epsilon}_{g,n,\beta}]^{\mathrm{vir}}=0.$$

This vanishing is intended to prove independence of correlators from the choice of lifts to the extended state space. The supplied source gives no resolution status for the conjecture.