On the other hand, He has inspired many people to consider the question that is raised precisely because of the paucity of information in Matthew's narrative.
So following your logic, those who aren't asking questions as a result of Matthew's narrative aren't following the curiosity that God wants them to follow - otherwise God would have made the narrative perfectly clear to everyone.
So in this case, questioning the deeper meaning of the narrative is following the will of God. In fact, it is possible God desires such investigation as a matter of course. What a concept - that God gives His children curiosity in order for them to use it.
Fortunately we are all in synch with the Fathers of the Church ~ (cited in the references)