Matter power spectrum boost (15) with different parameter transformations θ_GR = θ_GR(θ_BD), where ($A_{\mathrm{s}}^{\mathrm{BD}}=A_{\mathrm{s}}^{\mathrm{GR}}$ or ${\sigma }_8^{\text{BD}}={\sigma }_8^{\text{GR}}$) and ($H_0^{\text{BD}}=H_0^{\text{GR}}$ or $H_0^{\mathrm{GR}}=H_0^{\mathrm{BD}}{\overline{\varphi }}_{\mathrm{ini}}^{1/2}$). Requiring equal σ₈ (instead of equal A_s) flattens the boost in the nonlinear regime, while requiring equal ϕ_inih² (instead of equal h) synchronizes the sound horizon and avoids rapid baryon acoustic oscillations.