Metal-poor Galactic halo stars in the [C/Fe]–[Fe/H] diagram as predicted by our NEFERTITI model: Pop III descendants (in light grey) and Pop I/II descendants (in dark grey). The data points show all SAGA MP stars colour-coded by log g: in LTE (left); in NLTE (middle); and after applying both the NLTE and the C evolutionary corrections (right). Crosses (X) show CEMP-no stars ([Ba/Fe] < 0), circles show CEMP-s stars ([Ba/Fe] > 0) and triangles stars with unknown Ba.