Not necessary with cloture. There is no limit to the number of times a cloture motion can be filed on any debateable subject.
Not unheard of with cloture, but "weird," to say the least.
I’m not saying there are no exceptions at all, but it seems a necessary and regular procedure- not weird at all.
Search it and there are numerous examples.
“... somebody on the winning side of the cloture vote — in this case, the side voting against cloture — has to file a “motion to reconsider” if the matter is to be taken up again... any supporter of the bill or nomination in question could do the same, but traditionally it’s been the majority leader.”
That’s why! The cloture motion can be reconsidered ad infinitum but it can only be brought up by a ‘winner’ of the cloture vote.