I am not quite sure what your question is aiming at, but concerning the "do we really need to know", there is an interview-based study by Kutner, which examined the attitudes of parents and children versus video games (with a focus on violent content).
The main point for your question is that the parents' "primary concern is that games not interefere [...] with their children's schoolwork". Thus, addressing this concern with educational games, might foster the support of the parents for such games and therefore it seems important to know what the parents think about these games.
Greetings, David
Article Parents' and Sons' Perspectives on Video Game Play: A Qualit...
Work that my doctoral student is doing suggests that parenting styles and age of the child probably affects the attitudes parents have toward Internet use (whereby these attitudes include their views on mediation of media use) but whether it extends to technology use remains a question.
I am unclear how you think these attitudes would affect technology use in the classroom.
I think cultural context is critical shaping (parents) attitudes to game based Learning , particularly in respect of considering "games" as authentic learning experiences. As parents become more critical (aware) of their children's engagement with multi media and digital games; where this experience is shared , evidence (NESTA Futurelab 2006 Commercial of the shelf games in the classroom (COTS)) suggests integrating games in to the classroom and more formal curriculum *seems* to be more successful.