Cosmological posteriors for the adapted filter for the best-estimated n_be(z) in black using the full data vector and in green using only shear information compared to the COSEBIs posteriors in orange presented in Asgari et al. (2021) and to the (TT, TE, EE+lowE) results of Planck Collaboration V (2020) in red. The sharp cut of the green posterior is due to the conservative prior of Ω_m >  0.2, as the model does not agree with the cosmo-SLICS for smaller Ω_m values. The shear-only posterior is shown in this figure to support the assumption of using a linear galaxy bias model.