Ok, wow, are you an apologist for or member of SSPX? I have nothing against them but you keep putting the burden on me without providing any references or sources of your own.
Here’s what I think is a relevant passage from the source I cited from Benedict XVI (which if you read it, he claims he is entirely in line with John Paul II):
There needs to be a distinction, then, between the disciplinary level, which deals with individuals as such, and the doctrinal level, at which ministry and institution are involved. In order to make this clear once again: until the doctrinal questions are clarified, the society has no canonical status in the Church, and its ministers - even though they have been freed of the ecclesiastical penalty - do not legitimately exercise any ministry in the Church.
"In light of this situation, it is my intention henceforth to join the Pontifical Commission ‘Ecclesia Dei’ - the body which has been competent since 1988 for those communities and persons who, coming from the Society of Saint Pius X or from similar groups, wish to return to full communion with the Pope - to the Congregation for the Doctrine of the Faith. This will make it clear that the problems now to be addressed are essentially doctrinal in nature and concern primarily the acceptance of the Vatican Council II and the post- conciliar Magisterium of the Popes.
Does he come right out and say in four words “they are in schism”? No. But look at what he says (as well as the other Church teaching references I’ve provided which you have not refuted from Church teaching).
The society (SSPX) has no canonical status in the Church
its ministers do not legitimately exercise any ministry in the Church
Benedict XVI joins himself to the commission established by John Paul II that is competent to deal with those who “wish to return to full communion with the Pope”
Did you note those passages? This group has no canonical status in the Church? Note that in Canon Law anyone baptized has status in the Church unless they are separated from it formally. Its ministers do not legitimately exercise any ministry in the Church? This means that while sacramental actions may be valid they are certainly not licit, and so at the least it would be problematic for anyone to think they could fulfill a Sunday obligation by worshipping with such a group. They’re not in full communion with the Pope? Well, sorry, then they are separated from the Catholic Church (as are Protestants and Orthodox).
So, at this point, sorry, if this is not enough for you I give up. You have yet to provide any shred of Church teaching to support your positions or claims. I can’t find anything from the Church (Vatican, Popes John Paul II or Benedict XVI, or anything else) to contradict what I believe is the status quo. Please, if you have anything other than your own personal beliefs feel free to share them here so others can weigh in too.
I’d love to hear from anyone else who has information in this area too, especially if you can cite Church teaching to add something to this thread (just so I’m not the only one citing Church teaching).
Cheers