In India whole Conciliar dioceses are entrusted to bishops of either the Syro-Malabar or the Syro-Malankara Rites. And if there are significant numbers of adherents of these Syro rites in dioceses controlled by Latin Rite bishops, it is not unusual for them to canvas for eparchies to be created within the existing Latin Rite dioceses.
A week ago I asked an 80 year old priest cousin of mine if someone of the Latin Rite was living in a diocese controlled by a Syro rite bishop, and was also in a parish run by a Syro rite priest, and wanted his child baptized, what rite would be used for the baptism, and would the child belong to the Latin or Syro Rite?. All I got was gibberish for an answer.