Even as basically a laywoman, it makes complete sense to me why volume would not be a good way to measure fuel amounts with a rocket. Why? Because of Newton's Third Law, is what. It's all about throwing mass one way to go the other, and, while extra volume does complicate things, particularly in an atmosphere, drag is a drag, in the end, it's basically about throwing out the end opposite the way you want to go either as much as possible, or as fast as possible, or both. So fuel volume doesn't tell you as much as mass.
At least that's my understanding. Corrections, as always, are welcome.