At the SSPX site DICI we read the General Chapter Statement.
Bottom line: Not negative, but clarificatory. They left the door open for more discussions under Archbp. Di Noia.
You can read the whole thing there, but here is the most interesting part with my emphases and comments:
[...] We have recovered our profound unity in its essential mission: to preserve and defend the Catholic Faith, to form good priests, and to strive towards the restoration of Christendom. We have determined and approved the necessary conditions for an eventual canonical normalization. We have decided that, in that case, an extraordinary Chapter with deliberative vote will be convened beforehand.
The Chapter believes that the paramount duty of the Society, in the service which it intends to offer to the Church, is to continue, with God’s help, to profess the Catholic Faith in all its purity and integrity, with a determination matching the intensity of the constant attacks to which this very Faith is subjected nowadays.
For this reason it seems opportune that we reaffirm our faith in the Roman Catholic Church, the unique Church founded by Our Lord Jesus Christ, outside of which there is no salvation nor possibility to find the means leading to salvation; our faith in its monarchical constitution, desired by Our Lord himself, by which the supreme power of government over the universal Church belongs only to the Pope, Vicar of Christ on earth; our faith in the universal Kingship of Our Lord Jesus Christ, Creator of both the natural and the supernatural orders, to Whom every man and every society must submit. [A reference, I think, to the question of religious liberty.]
The Society continues to uphold the declarations and the teachings of the constant Magisterium of the Church in regard to all the novelties of the Second Vatican Council which remain tainted with errors, ["Pour toutes les nouveautés du Concile Vatican II qui restent entachées d’erreurs et pour les réformes qui en sont issues, la Fraternité ne peut que continuer à s’en tenir aux affirmations et enseignements du Magistère constant de l’Eglise..." If I read this correctly, they make a distinction between, on the one hand the Magisterium and, on the other, the teachings of Vatican II and the reforms that came from it, as if what pertains to Vatican II doesn't really belong to the "constant Magisterium". On the other hand, the SSPX would not see as error what we read in Lumen gentium about the Pope being able to teach infallibly. They would not say that what we read in Gaudium et spes concerning abortion as an abominable sin being in error. So, clearly, some teachings of the Council are fine. They can't be rejecting the entirety of the Council's textual content.] and also in regard to the reforms issued from it. We find our sure guide in this uninterrupted Magisterium which, by its teaching authority, transmits the revealed Deposit of Faith in perfect harmony with the truths that the entire Church has professed, always and everywhere. [Thus, since they perceive errors in what came from Vatican II, Vatican II can't be part of the Magisterium.]
The Society finds its guide as well in the constant Tradition of the Church, which transmits and will transmit until the end of times the teachings required to preserve the Faith and the salvation of souls, while waiting for the day when an open and serious debate will be possible which may allow the return to Tradition of the ecclesiastical authorities. ["...en attendant qu’un débat ouvert et sérieux, visant à un retour des autorités ecclésiastiques à la Tradition, soit rendu possible." The English is not entirely clear. Such a debate would, for them, aim at "ecclesiastical authorities" returning to Tradition. "Authorities" would include, I suppose, Benedict XVI. I hope the "ecclesiastical authorities" don't take that as being inflammatory. I suspect the SSPX did not intend it as inflammatory.]
We wish to unite ourselves to the others [sic] Christians persecuted in different countries of the world who are now suffering for the Catholic Faith, some even to the extent of martyrdom. Their blood, shed in union with the Victim of our altars, is the pledge for a true renewal of the Church in capite et membris, according to the old saying sanguis martyrum semen christianorum. [It seems that the see themselves as being persecuted, perhaps in the role of "confessors".]
“Finally, we turn our eyes to the Blessed Virgin Mary, who is also jealous of the privileges of her Divine Son, jealous of His glory, of His Kingdom on earth as in Heaven. How often has she intervened for the defense, even the armed defense, of Christendom against the enemies of the Kingdom of Our Lord! We entreat her to intervene today to chase the enemies out from inside the Church who are trying to destroy it more radically than its enemies from outside. May she deign to keep in the integrity of the Faith, in the love of the Church, in devotion to the Successor of Peter, all the members of the Society of St. Pius X and all the priests and faithful who labor alongside the Society, in order that she may both keep us from schism and preserve us from heresy.
Given at Ecône, on the 14th of July of the Year of the Lord 2012.
Déclaration du Chapitre général de la Fraternité Saint-Pie X
Dichiarazione del Capitolo generale della Fraternità Sacerdotale San Pio X
Declaración del Capítulo General de la Fraternidad Sacerdotal San Pío X
Grundsatzerklärung des Generalkapitels der Priesterbruderschaft St. Pius X.
Meanwhile, in “Eternal Rome”, there was issued a Communique concerning the SSPX:
Vatican City, (VIS) – Early this afternoon, the Holy See Press Office released the following English-language communique concerning the declaration which emerged from the General Chapter of the Priestly Society of St. Pius X.
“The recently concluded General Chapter of the Priestly Society of St. Pius X has addressed a declaration regarding the possibility of a canonical normalisation in the relationship of the Society and the Holy See. While it has been made public, the declaration remains primarily an internal document for study and discussion among the members of the Society.
“The Holy See has taken note of this declaration, but awaits the forthcoming official communication of the Priestly Society as their dialogue with the Pontifical Commission ‘Ecclesia Dei’ continues”.
So, the Holy See now waits for the SSPX to communicate officially with the Pontifical Commission “Ecclesia Dei“. An internal document is one thing, and what they tell the PCED is another. This statement, though internal to the members of the SSPX (priests) is, however, public. It is therefore also aimed at the people who support the SSPX. Over the years we have seen some bombastic public rhetoric even while Bp. Fellay has moved the SSPX into a dialogue (serious or not) with the Holy See.
On the other hand, I am not sure how entering into a “serious debate” with the aim of getting the authorities of the Holy See to “return to Tradition” is going to win them any points. Perhaps they will leave that part out of their next official communication with the Holy See.
In any event, perhaps this will keep the door open for new discussions with Archbishop Di Noia at the helm. Benedict XVI moved him there for a reason.