I don't think Francis will overtly or seriously punish Burke for three reasons: First, it would make Burke something of a martyr, increasing his standing among the rigid opposition; and second, Francis is serious about allowing freedom of expression as an expression of collegiality. That doesn't mean he won't be further marginalized; and third, Francis has more to gain by allowing Burke to continue demonstrate from his high perch the simple-mind, rigid foolishness of those who oppose pastoral mercy. 

Just an opinion of course. Your tea leave may be more aligned with truth than mine. ;-}