That was because their messengers (from Allah) kept coming unto them with clear proofs (of Allah's Sovereignty), but they said: Shall mere mortals guide us? So they disbelieved and turned away, and Allah was independent (of them). Allah is Absolute, Owner of Praise.
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.