I too have several muzzleloading rifles with tang mounted rear peep sights. Some have plain front sights and some have Globe front sights.
I made these conversions due to my cataracts which keep me from seeing the target or the front sight. (Did you know that target shooting, when you see three targets and three front sights is very challenging?
Fortunatly, I now have lens implants and can see again.)
During this period, because I'm interested in history and not wanting my guns to be too far from being "correct", I did some digging and noted that muzzleloading rifles not only could, but did use these sights back in the 1800s.
Yes, a lot of them were made for target shooting, but I strongly suspect that they weren't alone.
Seems to me, if my memory isn't going, the Famous "Creedmore Match", which the Americans won,
would have been won by the folks from the U.K. with their
Muzzleloading Rifles had they not fired their last shot on the wrong target.
All of the guns in this competition used peep sights for this long range shoot.
The bottom line is, a lot of folks do not care one bit about their guns being Period Correct.
A lot of folks do want their guns to be Period Correct, but the question that should be asked before being critical is: "which period?" If it's the late 1800s Peep Sights and Globe Sights are" correct."