Pope XII needed not to add the word "sacrament". Throughout the Church history it has always been understood that those "baptized" are the ones that have been validly so, this is, when proper matter and form are used. There was no need to specify further. The modernists are the ones that have been twisting defined dogmas by giving them an ambiguous meaning. The unbaptized simply do not belong to the Church, this is, the Body of Christ.