Was Lot, peace be upon him, the prophet whose wife deserted him, and what is the evidence for that, and why him specifically and not Noah, peace be upon him, when the wives of both of them disbelieved?

Allah Almighty mentioned that the wives of Noah and Lot betrayed them concerning faith, and He punished them with Fire. Some exegetes have concluded that the meaning of the verse (On the Day when a man will flee from his brother, and his mother and his father, and his wife and his children) refers to Lot fleeing from his wife, Abraham from his father, Noah from his son, Cain from his brother Abel, and Adam from the evil deeds of his children. This interpretation relies on the generality of the wording, not the specificity of the cause, and that the mention of names is by way of example for the meaning, not an exhaustive list. The flight on the Day of Judgment will be due to the intensity of the terror or for disavowal.