I don't have a wire saw (i can't find one in any shops locally), but this is how i would , theoretically have mine...

It should have swivels at each end. THis is to stop the saw from kinking while it is being used.
I'd ditch the split rings (space), and thread some paracord through the swivels. this will take up less space, and probably be more comfortable.
I'd place it along the inside of the PSK container. this , i think will save the most space (in my case), without damaging or kinking the saw, if it was rolled up into a tight coil.

these are just my thoughts, so I don't know if they are actually valid points.