Cardinal Burke said:"...they [the SSPX] are not part of the one Roman Catholic Church throughout the world."
If Burke's statement reflects the position of "Pope Francis" (aka Cardinal Bergoglio) then how does Cardinal Burke explain the 2016 Apostolic Letter Misericordia et misera
, in which "Pope Francis" states:"For the Jubilee Year I had also granted that those faithful who, for various reasons, attend churches officiated by the priests of the Priestly Fraternity of Saint Pius X, can validly and licitly receive the sacramental absolution of their sins. For the pastoral benefit of these faithful, and trusting in the good will of their priests to strive with God’s help for the recovery of full communion in the Catholic Church, I have personally decided to extend this faculty beyond the Jubilee Year, until further provisions are made, lest anyone ever be deprived of the sacramental sign of reconciliation through the Church’s pardon."
Here are the facts as "Pope Francis" states them above:
1. He recognizes the clergy of SSPX to be "priests."
2. He recognizes the places where these clergy "officiate" as "churches."
3. He recognizes those "attending" those "churches" to be "faithful."
4. He recognizes the sacramental absolution dispensed by those "priests" to those "faithful" in those "churches" to be "valid" and "licitly received."
So, it would appear that, unlike Cardinal Burke, "Pope Francis" thinks the SSPX are acting as validly ordained Roman Catholic priests with the full "ministry of the Keys." It would, therefore, seem that Cardinal Burke is actually the one who holds "schismatic position, which he defines as one who "accepts the Pope but doesn't accept his governance of the Church," since Burke does not accept the statement by "Pope Francis" concerning the SSPX in Misericordia et misera
By the way, if "Pope Francis" has given the powers of sacramental absolution to people not part of "the one Roman Catholic Church throughout the world, then that act would be heretical and schismatic because of the following dogma of faith promulgated by the Council of Trent (Denzinger, 43rd edition, 1684 and 1686):"With regard to the minister of this sacrament [the Sacrament of Absolution], the holy council declares: False and totally foreign to the truth of the Gospel are all doctrines that in a very destructive manner extend the ministry of the keys to any other men besides bishops and priests.
It is in the nature and meaning of a judgement that the sentence be pronounced only over one's subjects. Hence, the Church of God has always been convinced, and this council confirms a fully true, that absolution is of no value if it is pronounced by a priest on one over who he has neither ordinary non delegated jurisdiction."
So it would seem that either
a) Cardinal Burke is in a "schismatic position" with "Pope Francis," since "Pope Francis" has recognized the priestly ministry of the SSPX priests,
b) Cardinal Burke is claiming that "Pope Francis" is in violation of a dogma of faith by recognizing allowing non-Catholic "priests" to dispense sacramental absolution.
Take your pick. Either way, it doesn't look good for Cardinal Burke.