It was never Allah's (part) that He should send a folk astray after He had guided them until He had made clear unto them what they should avoid. Lo! Allah is Aware of all things.
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.