Equality of special-cycle rings on orthogonal Shimura varieties

Let $Y_K$ be the Shimura variety in the paper. Let $\widetilde{{\rm SC}}^\ast(Y_K)$ be the subring of the Chow ring generated by the weighted special cycles, and let ${\rm SC}^\ast(Y_K)$ be the ring of special cycles. Special-cycle generation conjecture.

$${\rm SC}^\ast(Y_K)=\widetilde{{\rm SC}}^\ast(Y_K).$$

The weighted special-cycle ring is known to be finitely generated and its cohomological image contains the theta-generated cohomology. The conjecture asks whether all special cycles are generated by these weighted cycles; the source gives no resolution.