That is because those who disbelieve follow falsehood and because those who believe follow the truth from their Lord. Thus Allah coineth their similitudes for mankind.
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.