Left panel: comparison of the column densities of neutral gas measured from CO toward the AGN (N_H(CO); in units of H atoms per cm²) with the column densities derived by modeling the absorption of X-rays (N_H(X_abs); Ricci et al. 2017a) in the galaxies listed in Table 3 and in NGC 613. In this comparison we use the HSR datasets of ALMA for the core sample of GATOS. The blue color is used to draw the 1:1 line, while the red color identifies the linear bisector fit to te data. Right panel: comparison of the average surface density of molecular gas measured for the molecular tori of the galaxies listed in Table 3 ((CO), in units of H atoms per cm²) with the corresponding column density derived in Sect. 7.2 by modeling the reflection of hard X-rays (N_H(X_ref)). Errorbars at the lower right corners in both panels account for the total uncertainties on the molecular gas mass estimates due to the assumed conversion factors (∼±0.2 dex), and for a ±0.15 dex uncertainty on the gas column densities derived from the modeling of X-rays.