Actually, using the two-step approach the heritability coefficient estimate will be about the same as when the analysis is carried out on sum scores. This is because IRT estimates and sum scores correlate highly, well over 0.90 in the case of two-parameter models. When applying a one-parameter model, the correlation will be practically one, because a basic assumption of the Rasch model is that a sum score is a sufficient statistic for the score on the latent trait. Therefore, all persons with the same sum score will get the same estimate on the latent trait. Thus, a third problem of the two-step approach is that it neither solves the attenuation problem, nor the non-normality, nor the ceiling effects.
