Wa antum fa jazaakum Allahu khairan
Seeking Allah's Mercy, your additional information makes sense with regards to seeking the reward of qiyam-ul-layl when following the Imaam until the end of prayer, including the Witr. The confusion only arises when the question of praying it again or twice is posed.
Delaying the witr is Sunnah, and it is, if I am not mistaken, among those acts the Prophet

would have made obligatory had it not been difficult, but then the question of completing it after the Imaam arises, and to that, I believe there is sufficient evidence to its permissibility, unless of course, you are leading the prayer, and the people following only have you to lead them in Witr in completing their prayer. Having said that, what exactly were you confused about? As in, what, specifically, was your question about, to which this answer was received?