Longitudinal SEM Person-specific Extrapolation

I have a question, which I closely related to an earlier question of me (https://openmx.ssri.psu.edu/thread/3991). Given a longitudinal SEM model, which has been fitted using many persons, is there a recommended approach to obtained person-specific predictions for unobserved time-points, as there is for obtaining factor scores? (see e.g http://www.tandfonline.com/doi/abs/10.1080/00273171.2012.730072 by Ryne Estabrooka & Michael Neale).