Does touching the pubic hair during ghusl necessitate redoing wudu before prayer?

The obligatory ritual bath (ghusl (definition)), such as for janabah (definition) (post-sexual impurity), menstruation, and post-natal bleeding (nifas (definition)), suffices for ablution (wudu'), even if one did not intend wudu', because the intention to remove the major ritual impurity (al-hadath (definition) al-akbar) is sufficient for the intention to remove the minor ritual impurity (al-hadath al-asghar). If one intends wudu' along with the ghusl, it is more complete but not obligatory. However, a condition for the validity of the wudu' is that it must not be invalidated during the ghusl. If something invalidates wudu' during the ghusl, the ghusl is not nullified, but the wudu' is. Touching pubic hair is not among the things that invalidate wudu' according to the jurists.