He is explicitly stating his Tridentine Mass is a NEW liturgical rite.
Stubborn is correct. It's a new missal, in the sense that it organized the rubrics in a new way. It's not new in the sense that what it contains, doctrinally and liturgically, is new. 95% of what was in the Quo Primum missal was in all the other hundreds of rites which it outlawed. Quo Primum just cleaned up the 5% of rubrics which were added to each Order and diocese over the centuries, and were added out of respect and love of the mass. But such additions had become too varied and needed uniformity.
For example, the Benedictine Order adds "St Benedict" to the Confiteor prayer and his name is added later in the mass. But since this rite is older than 200 years, they are allowed to keep these rubrics. The other Orders at the time also added these type of non-essential elements to the prayers of the Mass, which QP put a stop to.
Contrast the meaning of the word "new" to the novus ordo, which was both a new rite, in essentials and non-essentials, and a new theology.
A bull which deals with the prayers, ceremonies and rites used by the Church belongs to the realm of discipline, not dogma.
Wrong. The prayers, ceremonies and rites of the Church are both of Divine and human origin. Therefore these rites have to do with doctrine (i.e. Divine elements) and discipline (human elements).