A problem i have using a peep sight whilst hunting, is focusing on the front sight. Once, i fell, and damaged the front sight, but only once. Over the years of hunting with scopes, i imagine i fell a jillion times, but never once damaged a scope.
Myself, i have used two different Williams sights on my Omega. The FP works good, and the WGRS works good too. However, i never had any issues with the bullets hitting a foot left. One thing i like to do, is replace the provided peep insert with the largest one available from Williams. Also, if memory serves, i may have removed some material from the bottom of the vertical slide of the FP, so it would clear the stock; no big deal.
The year the regulations changed so we could use a 1X scope, i quit using the peep sights, and switched to the 1X scope. Because focusing on the front sight is no longer an issue, i can shoot more accurately, and also a bit further with the scope, even though i don't really much care for the 1X..