Is it possible to have it mounted in such a way that it does not rotate when I draw back?

I have a Fletcher Tru-Peep in my string, this is one that splits the string in half without the use of tube. This is on a factory Hoyt Razortech string. I have one of the specialty peep housings on my UltraTec with a winners choice string and no rotation at all!!!

Is it possible or is the guy at my shop not wanting to spend the time to do it right?

Thank You
UpNorth