I have been asked by friars and non-friars about what the papal motu proprio of Pope Francis issued on July 16, Traditionis Custodes, means for the those celebrating the Dominican Rite Mass privately or publicly. As document speaks only of the Roman Missal of 1962, there is no clear answer to this question. When things become clearer, I will update the link to "Canonical Status of the Dominican Rite."
I feel safe in saying that one provision of the motu, that the readings are to be proclaimed in the vernacular in the translation approved by the bishops' conference of each country, whether in place of the Latin readings, as currently allowed a Low Mass, or before the sermon, this will probably become a norm for us as well. Fortunately, Dominican Liturgy Publications has already produced a lectionary for the whole year in the Dominican Rite using that official New American Bible text made available at the United States Conference of Catholic Bishops website. It may be purchased here.