i can get mine close to coming back perfect, but unless i luck out its always a little right or left. what i do is offset my loop a little bit when i get it close and tighten my loop by inserting some needle nose pliers and spreading them. i've done the strand swap to the point of 0 rotation at all, but you have to be very careful - as i'm sure african sunrise will attest. it's easy to damage strands, and if you go the wrong way around the peep it'll get worse and you'll have to undo it and go the other way. you can also add a twist to the bottom of the string and take 1 out of the top, but its just more trouble than its worth to me.

the thing is i'll say ok, 2 twists in the bottom of the string will do it. i do it and it's almost perfect, i add another and all the sudden the string has hit this point where 1 twist does a lot more than it did before and now i've done too much, so i take out a half a twist and if its not perfect i offset my loop a little. its the easiest and least damaging way i've found to mess with mine. plus the good thing is if your cable or string settles some more, it doesn't matter, the peep will still come back right. i usually end up with about 70 degrees of rotation if you add the peep and loop offset together. some people flip over this, but honestly i wouldn't care if my peep did a 360 as long as it did it every time.