When needed to rotate Center Points, sometimes there are just not any geometry edge in required orientation for ALIGN TO EDGE command. Than it is quite challenging to rotate Points into requested orientation.
I would like to rotate the Center Points by picking of Base Planes or Work Features, or maybe even Sketch Lines. Probably it should not be so complicated change, mainly because the Center Point orientation is not permanetly linked to selected edge orientation (When edge changed, the View orientation is not updated).
Random example: I like to rotate the Hole Center Point aligned to Middle Axis.

Btw. very similar situation is the Rotation of Drawing Views.
See the Idea here:
https://forums.autodesk.com/t5/inventor-ideas/rotate-view-by-work-datums-planes-axis/idc-p/10348637
Thanks