Some are designed for dropping in a plastic wad
Yes, the old "pumpkin ball" or as they used to pronounce it on the Eastern Shore of Maryland, "punkin' baw" (as the ball has a slight sprue left in some of the old loads) was a ball on top of a wad.
A lot, I mean a whole lot, of "utility SxS shotguns" of the first half of the 20th century were choked Improved cylinder to cylinder bore in the right barrel and what today is called "improved modified" (which is really half way between modified and full choke). What this gave the farmer, was a pretty versatile shotgun, which worked for deer, upland birds, and waterfowl. It wasn't optimal for all of the different forms of game included in that wide range, but it worked for the fellows who could only own one gun in their lifetimes, and for guns intended to put meat into the pot..., not for "sporting purposes".
So the .729 barrels on the right were from .729 to .724 or .720... and a .710 ball would work without harming the choke. The left barrels were .705 to .700, which were reserved for things like squirrel in the trees, turkey, and waterfowl. BUT...,, when the plastic shot cups came around, both the ball AND the plastic had to clear the choke at the same time so that's why you will find molds for "12 ga. ball" in the .660's sizes. In fact it was very inexpensive during The Great Depression, to open up a "low brass" upland bird shell, and saving the shot, to then insert one of those smaller ball, and pour in a bit of wax to hold it in place.
Yes..., a "Hillbilly Slug" [cutting the shell so the entire portion above the powder breaks loose and goes down range as a solid mass) was another expedient method which was only good to about 20 yards..., while opening a bird shell and replacing the shot with a ball would give you 40-50 yards.
I have an old Savage 311 SxS and the choking info as told to me by my late grandfather bore this out, and the info on the shotshell modifications was from him as well.
For the OP I'd suggest a .710 or even a .720 ball if you're going to shoot "bare ball" from a 12 gauge smoothbore with a cylinder bore.
LD