which means that virtually half of the LP didn't want him.
No, it doesn't. There is no way you can know that. It simply means that the remaining 44% had a higher preference for one of the other two candidates.
It's interesting that, until recently, we were being bombarded with 52% being "the will of the people" while we are now told that 56% means "half of the LP didn't want him". Neither were true; they are both simply outlandish, counterfactual nonsense that take us nowhere.