The weight-two regularized distribution conjecture

Let $N$ be a level, and let RDT denote the regularized distribution relations, RDS the regularized double shuffle relations, and FDT the finite distribution relations among weight-two MPVs of level $N$.

Weight-two RDT conjecture. All RDT in weight two are consequences of the RDS and FDT. The source reports numerical evidence through level $N=49$ for this completeness claim.