Simple idea: you do more, you get better. In the broadest strokes and for the broadest folks, this is probably true. Right? We can argue the minutiae of what the "right" volume is and how to find it but I think that it is generally true that increasing volume increases performance. I want to also make sure the discussion is broad because I think too often the training discussions here focus on the elite and for a highly fit athlete focusing on specific race stimulus, generic volume is maybe not as helpful. But for the less fit or developing runner, I think volume really can be the closest thing to a training "magic bullet." But if you disagree, let me hear it!
Also, I originally typed this with "mileage" as the operative word but I think that is an important distinction. I think volume is a better term because it can catch things like cross-training. For the training of runners like Natalie Cook and Parker Valby, many say they are low mileage but I think if you were to look at their training volume it would be rather high, with things like elliptical and alter g.