Say (unto the People of the Scripture): Dispute ye with us concerning Allah when He is our Lord and your Lord? Ours are our works and yours your works. We look to Him alone.
Times are computed by method; your mosque's timetable governs the adhan. Every text carries its source and grade. Nothing here is a fatwa, a prediction, or a substitute for a doctor: your own scholar decides what is contested, and the tradition itself says the practice is alongside treatment, never instead of it.