For those who attempt Josephite marriages but "backslide" from time to time, with determination that it won't happen again, problem solved by contrition and absolution.
For those who have no intention of living in mutual continence, problem indeed.
"...respect must everywhere be shown for the feelings of all those who are attached to the Latin liturgical tradition, by a wide and generous application of the directives already issued some time ago by the Apostolic See for the use of the Roman Missal according to the typical edition of 1962." --- Pope St John Paul II, Ecclesia Dei, 1988