As long as they submit to the Pope as the Church's final earthly authority then I welcome them back home to Rome.
"As long as they submit to the Pope as the Church's final earthly authority then I welcome them back home to Rome."
Accepting the Pope as the final authority is part and parcel of being a sui iuris church. But as a sui iuris church, they will not be "Roman Catholic." They'll be Anglican Catholic in the same way that eastern Catholics are Maronite Catholic or Melkite Catholic, etc.