The relation between the interpreted moments of ﹩\mathrm{ln}A﹩ with (filled markers) and without (open markers) the application of ΔX_max to the model predictions using Auger DNN data (A. Abdul Halim et al. 2025a). The dashed and solid lines correspond to the systematic uncertainties. The range of possible combinations for p, He, N, and Fe nuclei is limited by the black lines forming the umbrella. The resulting value of ﹩{\sigma }^{2}(\mathrm{ln}A)﹩ inferred from the correlation coefficient r_G between the ground signal and X_max (A. Aab et al. 2016b) for 3–10 EeV is shown by the gray band, with the darker and narrower band indicating the respective energy range of the points for ΔX_max.