Well, I'm looking at it from the perspective of necessity, utility and maybe a dash of blasphemy, hence "inappropriate".
Find a side mount and what, drill holes in that piece of art? No way...
Saddle it up with a scope and convert a handy functional saddle gun into something a bit awkward? Nah....
Jimmy Stewart never did such a thing in the movies.
Nope, there ain't but one practical, functional and graceful way to make that one run. Tang sight. Cheap, proper and effective.
You got two screws on the left side, widely spaced. Not a lot of stability inherent in that geometry.
Maybe irrelevant to the OP, but methinks a lot of folks are wary of apertures and peeps due more to lack of familiarity than anything else. They just work on so many levels it is silly to ignore them for either target or field use.
Went to the range awhile back, put my 66 year old eyes on the flinter and popped 5 into 2" at 50 offhand. Good enough for field work given cataracts in the aiming eye IMO. That works due to the sight radius being looooong on a 42" barrel.
Then put the Stevens 44 on the bags for the first time,using a MVA schuetzen verier. .25-20 SS, 19 gr Swiss 1.5 and a Lyman 257283 etc. 10 in less than 2" is a good start, but not great. Such sloppy shooting was not the fault of the sight. Another gun, a 513T has a Redfield Olympic sight system on board and will do 10 for less than an inch by fair margin at the same distance. My point is that aperture sights are functional for both short and long range work. Most any BPCR or schuetzen style shooter recognizes such things.
Ramble over,
Dan