In the more febrile sections of the Church media there has already been speculation about how Pope Francis will react to the ‘Filial Correction’. Such speculation only goes to show how little the current Vatican policy is understood in such circles.
Buoyed up by popularity in the secular press, Francis does not need to pay heed (as his silence over the dubia has shown) to the opinion of Catholics. He can go over their heads and appeal to the post-Christian majority, who share his opinions.
Expect no response, therefore. The dignity of absolute monarchy is best maintained by silence.