"The remission of the excommunication was a measure taken in the field of ecclesiastical discipline: the individuals were freed from the burden of conscience constituted by the most serious of ecclesiastical penalties. This disciplinary level needs to be distinguished from the doctrinal level. The fact that the Society of Saint Pius X does not possess a canonical status in the Church is not, in the end, based on disciplinary but on doctrinal reasons. As long as the Society does not have a canonical status in the Church, its ministers do not exercise legitimate ministries in the Church. 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."
w2.vatican.va/content/benedict-xvi/en/letters/2009/documents/hf_ben-xvi_let_20090310_remissione-scomunica.html