If Allah had willed to choose a son, He could have chosen what He would of that which He hath created. Be He Glorified! He is Allah, the One, the Absolute.
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.