Sensitivity of the inferred Hubble constant as a function of fractional change in the measured lens velocity dispersion, σ_v (see Eq. (15)). Each color corresponds to one of the seven strong lens systems of the current TDCOSMO sample. The dotted lines display the best linear fit to the data. The joint inference performed on the seven lenses is shown in black. The error bars correspond to the 16th and 84th percentile of the posterior distributions. The two bottom panels show the sensitivity of H₀ to a change in the measured lens velocity dispersion for power-law (left) and composite (right) models independently. The sensitivity of the joint inference, ⟨ξ⟩ is indicated on each panel.