I hunted with a Thompson Center Peep on my Renegade for many years. They are a very accurate sight. Their trouble comes in when the sun starts to set and you are looking into shadows. I had to pass on shots. Not because I could not see the animal but was having a hard time getting the right sight picture in the shadows with the peep.
I did take some florescent neon green paint and touch the front sight and that really helped a lot. Then when the sun started to set, I took the peep out and shot it through the ghost ring, and limited the ranges I shot at.
They will work, but practice with them. In open field or when the sun is up, the accuracy you can get with a peep is excellent. We are not allowed scopes during our muzzleloader season and that was the reason I went to one...