Illustrator :: Applying Live Rotate / Multiple Copy Effect On A Group Of Paths?

I'm intermediate (at best) with Illustrator. I'm using CS6 on a 2009 iMac. How to make Illustrator ignore stroke weight/cap/join settings when I'm applying a live rotate/multiple copy effect on a group of paths? Currently, Illustrator sets the rotation point to the outermost part of my stroke (figuring in the strokes atrributes), but I only want it to calculate the from the path's structure: the coordinates of my designated anchor point.
 
Here's the top/right group of paths with a rotate/ 3 copies effect of 90 degrees. Looks problem-free at this view.

Here's that top/right group of paths with the addition of a reflect/ 1 copy effect of X-axis. Still no apparent problems.
 
But here's a close up of the misalignment of corner points. As shown, the Transform effect is based off the strokes attributes (the tip of its corner), not the actual location of the corner point.

It does not apply different cap/corner styles or stroke alignments; that only slightly nudges the pivot point to the center.
 
Plus, this one point stroke is somewhat arbitrary. I only set it so in order to see my dynamic effects.

Tweaking the vertical/horizontal moves effects of the rotated/copied elements won't support because this art will later undergo lots of alteration, mostly changes in stroke weight (maybe even variable stroke width).

I need the skeleton of my structure to snap together precisely.
 
Any solution, no matter how roundabout, would save this project!