Allah verily hath shown grace to the believers by sending unto them a messenger of their own who reciteth unto them His revelations, and causeth them to grow, and teacheth them the Scripture and wisdom; although before (he came to them) they were in flagrant error.
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.