Notes. α in this table refers to the exponent in the equation Σ₈ = σ₈(Ω_m/0.3)^α. When α = 0.5 (upper section) reported constraints are for S₈. Otherwise, constraints are for the optimal degeneracy direction for each statistic, thereby showing the maximal constraining power. We report the χ² of the best-fit (i.e. maximum a posteriori) model for each statistic, and the number of effective degrees of freedom (dof, computed as $N_{\mathrm{data}}-N_{\mathrm{param}}^{\mathrm{eff}}$ where $N_{\mathrm{param}}^{\mathrm{eff}}$ is estimated as described in Appendix B of Stölzner et al. 2025). We compute the best-fit probability-to-exceed (PTE), which indicates the fraction of possible data vectors, drawn from a generative model described by our best fit, that would be at least as extreme as our observed data vector. We provide three constraints over our primary cosmological parameters per setup: the marginal mode and marginal highest posterior density interval (HPDI), the marginal mean and standard deviation, and the maximum a posteriori point and projected joint highest posterior density interval (PJ-HPD). The latter statistic can be noisy in the limit of few samples $N_{\mathrm{samp}}^{\mathrm{PJ}-\mathrm{HPD}}$ residing within the PJ-HPD, and so we also provide the number of samples in the PJ-HPD region as a guide.