That the People of the Scripture may know that they control naught of the bounty of Allah, but that the bounty is in Allah's hand to give to whom He will. And Allah is of Infinite Bounty.
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.