Does ablution become void and have to be redone along with the prayer if a worshipper laughs aloud during prayer?

The invalidation of ablution (Wudu') by loud laughter (Qahqahah) during prayer is the view of the Hanafis, who base their argument on a hadith that is not established. The view of the majority of scholars is that loud laughter invalidates the prayer, but it does not invalidate ablution. The majority of scholars argue that loud laughter is not an impurity (hadath) that invalidates ablution outside of prayer, and therefore it should not be so inside of it. They also argue that the hadith used by the Hanafis is mursal (has a missing link in its chain of narration) and weak. However, if one were to perform ablution out of recommendation, it would be good, as this would resolve the difference of opinion and due to the commission of a sin.