Recently, Cooke et al . (Cooke et al . 2022 R. Soc. Open Sci. 9 , 211165. ( doi:10.1098/rsos.211165 )) used a three-dimensional coupled chemistry-climate model (WACCM6) to calculate ozone column depths at varied atmospheric O ₂ levels. They argued that previous one-dimensional (1-D) photochemical model studies, e.g. Segura et al . (Segura et al . 2003 Astrobiology 3 , 689–708. ( doi:10.1089/153110703322736024 )), may have overestimated the ozone column depth at low pO ₂ , and hence also overestimated the lifetime of methane. We have compared new simulations from an updated version of the Segura et al . model with those from WACCM6, together with some results from a second three-dimensional model. The discrepancy in ozone column depths is probably due to multiple interacting parameters, including H ₂ O in the upper troposphere, lower boundary conditions, vertical and meridional transport rates, and different chemical mechanisms, especially the treatment of O ₂ photolysis in the Schumann–Runge (SR) bands (175–205 nm). The discrepancy in tropospheric OH concentrations and methane lifetime between WACCM6 and the 1-D model at low pO ₂ is reduced when absorption from CO ₂ and H ₂ O in this wavelength region is included in WACCM6. Including scattering in the SR bands may further reduce this difference. Resolving these issues can be accomplished by developing an accurate parametrization for O ₂ photolysis in the SR bands and then repeating these calculations in the various models.