In my opinion taking the situation into consideration I would expect both characters to show an overwhelming emotion of grief for the loss of their children however Jason presents emotion that Medea lacks, her behaviour throughout the scenes are cold and disconnected from her emotions. She seemed more focused on accomplishing her mission to revenge Jason than showing remorse for killing her own children. Medea showing such a lack of emotion about her the deaths of her children and her unsympathetic behaviour towards Jason as be pleads kiss his children for one last time. As a result of this Medea appears to have a higher status than Jason as she is the one in control of the situation.
