Signed cycle expectation decay conjecture

Let $C^0$ be a cycle of length $k$ with its signed cycle statistic $\kappa_{C^0}$, and let $\mathcal{G}(n,p,d)$ denote the noisy high-dimensional random geometric graph model without edge subsampling. Signed cycle expectation decay conjecture. There exists a constant $C_{k,p}<\infty$ such that

$$\left\lvert\operatorname{\mathbb{E}}_{\mathcal{G}(n,p,d)}[\kappa_{C^0}]\right\rvert \le \frac{C_{k,p}}{d^{k/6}}.$$

This conjecture is presented as an analogue of the signed clique conjecture and would improve the $d^{-1/2}$ bound used for signed cycle expectations. The source does not provide a resolution.