How to Apply Transforms using a Reference Bone/Armature?

I use the default bone of a new armature to orient (CTRL+A) the default quaternion rotation WXYZ = 1,0,0,0 such that head->tail points in the +X direction. Basically changing WXYZ = 1,0,0,0 from +Z to +X.

How do I then get additional bones (both child and non-child) to automatically use that +X orientation as the reference for their respective WXYZ values?