It feels like a correct assumption if you have the following thought process:

*The angle to the base of a cone is consistent around its perimeter. If I change the width/length of the cone, the angle has to change... this same rule should apply to a sharpening jig.*

But then someone shows you this...

...and the above assumption collapses.

So yeah, you

*use a central point/pivot to keep the same bevel angle along a straight edge, regardless of its width/length! :lol2:*

**can**