I'm not sure that this is the correct interpretation.
A man of Francis' hubris doesn't take kindly to being interrogated, which is essentially what the dubia amount to. I see this as a gesture of extreme displeasure on the part of El Lider Maximo; a papal "we are not amused" moment.
He's letting his ...er.....entourage know, that heads will roll. Not the heads of the "Four Cardinals", of course. There's not much he can do to them. No, this is a shot across the bows of the other cardinals who may be sympathetic towards the revolt, or those currently straddling the fence and thinking of joining it.
Pope Francis 'snubs' pomp and ceremony of Vatican Beethoven concert
Bergoglio is the ultimate narcissist.