GMMAT - You should state that "providing the peep sight is anchored in between the string properly".
Absolutely. I just can't imagine a PROPERLY installed peep moving. I've never had that issue....and I've owned several bows, now (with several of them NOT having the peep tied in). When searching for a target release that I liked well enough to employ all the time....I found out that my anchor changed, slightly, from release to release. It was imperative that I be able to adjust the peep when switching back and forth. So....I never tied them in.
Once my string is "trained" and I decide on a release, though, I WILL be tying the peep in.....for peace of mind.
Valid point.