Absorbed fraction, defined as the fraction of AGN with NH >  10²³ cm⁻² for various models compared to Vito et al. (2018) and Pouliasis et al. (2024). We include the 68% confidence region as shaded areas. The top panel shows the results including only the ISM gas, the bottom panel adds gas within the dust sublimation radius. For the cases including gas within the dust sublimation radius, we show the case with ε_r = 0.1, including spin evolution the absorbed fraction decreases to 60–70% (distr and sEdd), and 40% (overm).