The y-axis shows the bias in H₀, defined as the median of the H₀ posterior obtained from the substructure-perturbed datasets minus the median of the posterior from the control datasets. The mock lenses are sorted on the x-axis by the square root of the lensing volume divided by the longest time delay, a dimensional quantity that determines the additional uncertainty caused by substructure in the lens system. The error bars show the statistical uncertainty on the median, which is given by , where σ_control is the uncertainty in H₀ from the control dataset and N = 200 is the number of realizations. We find no evidence for bias in the inferred value of H₀ stemming from substructure that is not modeled in cosmographic inferences.