I do not know if this is possible (although I don't see why it wouldn't be) but I would hope that +Burke would be stripped of his status as a cardinal.  One is not ordained as a cardinal, it is a position granted at the pleasure of the pope, and carries no other weight then (a) being an advisor to the pope and there are lots of those, and (b) election of a new pope and Burke is not needed for that as we have quite enough to do so, and will continue to have enough as +Francis appoints more each year he is in office.  Ergo:  +Burke is simply of no use and is not needed.