Differences in inferred mass per star (KIC ID on the abscissa) when the luminosities of the models are not required to comply with the observed luminosity deduced from Gaia DR2 data. Constraints on T_eff and log g are in both cases enforced. The stars for which we have not used the Gaia luminosity in the modelling are indicated in red. For these stars we have put no constraints on the spectroscopic parameters in our final MLE (hence this solution is not indicated here).