I don't own a rifle with a pop-up peep. Sadly, none of my Mannlichers came from the factory with one. However, almost all of my vintage hunting rifles wear either an aperture receiver sight or a bolt shroud aperture.
I love aperture sights! All but one of my white deer have been taken with open sights. So far, my aging eyes have allowed me to continue to hunt this way. I will continue to use iron sights until my eyes force me to switch over to a scope.