I think we also have to remember that according to the Latin Church all conversions to Catholicism from a Protestant Church in the Diaspora, no matter where that Reception takes place whether it be in a Latin Church or a Byzantine one ] results in that convert being ascribed to the Latin Church.
I’m sure that Vico can post the relevant Canons
One may have to petition to transfer, regardless of where received, if a different rite is desired from the one via CCEO canon 35. (See:
Comparative Sacramental Discipline in the CCEO and CIC, Canon Law Society of America, pp. 255-258) When the CCEO code was written it was proposed to add a clause for free selection of the Church
sui iuris, but
this proposal was not added.
According to canon law those first baptized Orthodox are ascribed as members of the eastern Catholic Church closest to their ritual Orthodox Church, even if received into the Catholic Church at a Latin Church by Latin clergy.
Some from the book (pp. 255-258) are:
Eastern:
Orthodox Church of America → Ruthenian or Ukrainian or Russian Catholic
American Carpatho-Rusyn Orthodox → Ruthenian or Slovak Catholic
Serbian Orthodox → Krizevci Catholic
Macedonian Orthodox → Macedonian Catholic
Greek Speaking Eastern Orthodox → Hellenic Greek Catholic
Arabic Speaking Eastern Orthodox → Melkite Greek Catholic
Romanian Orthodox → Romanian Catholic
Russian Orthodox → Russian Catholic
Belarussian Orthodox → Belarussian Catholic
Ukrainian Orthodox → Ukrainian Catholic
Bulgarian Orthodox → Bulganian Catholic
Hungarian Orthodox → Hungarian Catholic
Albanian Orthodox → Albanian Catholic
Oriental:
Armenian Orthodox–> Armenian Catholic
Coptic Orthodox → Coptic Catholic
Ethiopian Orthodox → Ethiopian Catholic
Syrian Orthodox → Syrian Catholic
Indian Orthodox → Syro-Malankara Catholic
Mar Thoma Syrian → Syro-Malankara Catholic
Orthodox Syrian (Jacobite) → Syro-Malankara Catholic
Malabar Independent Syrian Church (Thozhiyoor) → Syro-Malankara Catholic
Church of South India, St. Thomas → Syro-Malankara Catholic
Assyrian:
Assyrian Orthodox → Chaldean Catholic
Syrian Malabarese → Syro-Malabar Catholic
Syro-Chaldean → Syro-Malabar Catholic
Latin:
Church of South India, not St. Thomas → Latin Catholic
Anglican, Lutheran, Reformed, Anabaptist, and their derivatives. → Latin Catholic