But only half of the fallen warriors would get to sit with Odin.

The other half would go to Freyja in Folkvang. And actually, according to Norse mythology, Freyja got to choose her half first, and there honestly doesn’t seem to be much of a difference between the two places, aside from one being a hall and the other being a field. If you weren’t cool enough to bite it on the battlefield, you wound up in Hel, which also isn’t bad; you’d eat, drink, practice magic, and basically live your best life until the end of time.