Cosmological posteriors obtained with simulation-based forward model and NPE. We trained the NPE for several statistics: the full (CR, HR, z) XOD (blue contours), the (CR, HR) number counts (dashed green), the (CR, z) number counts (dashed purple) and only the z distribution (dashed black). The same simulations, forward model, and parametrisation were used, and we still recover informative constraints for all these cases.