Kody - you're probably right about the counter effects of the powder charge on slug rotation (huh?)
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. Rotation by a "shuttle cock" slug is not believed here unless it is shot through a "rifled" barrel.
DM - I was not aware the original designer's intent of the fins, but certainly agree with your account as fact of the end result. I also believe Brenneke slugs, with its "deeper" fins, can be used in tighter choked shotguns than the "Foster" type (just as its manufacturer claims) for the very reason you cite.
If a .505 diameter round ball will work for the 28ga, then just about any .50 caliber slug weighing about 3/4 of an oz. should work with the appropriate wad, where a folding crimp can be employed, and powder charge the same as the "pellet" weighted shell. I would think a .50cal. Lee "Real" bullet or Hornady cast bullet might work if OAL permits a crimp. (I've shot a few of the Lee 7/8 oz slugs out of 12ga Improved Cylinder choke to expect at least 2 to 3" groups at 60 yards. I would expect as good a performance for the 28ga if the bore and bullet fit match.)