My findings coincide with the other guys. Adding rifle sights greatly increases the accuracy of smoothbores for those with failing eyesight as defining the centre of the breech when aiming is very important.
The very best shooting I've seen with a smooth rifle, was a little .44 smoothbore I once had. I jug choked about .005" per side for use with shot yet still not enough to destroy round ball shooting. Bunny hunting with round balls was a 25 yard, head-shot game on snowshoe hares. It would make a very small 1" hole for 5 shots at 25 yards and still hold onto 2" to 2 1/2" at 50 yards shot of the bags. The RB load was a .424" ball and .020" denim patch with 65gr. 2F. It was a very consistant shooter and I do feel the jug choking helped, but I am at a loss as to explain why. I once shot 8 out of 10 on Trap with this gun, using 1/2oz. shot with 45gr. of 3F. I used .410 plastic wads with 2 1/10" hard cards down on the powder. It show very nicely rounded, 25" evenly spaced patterns at 25 to 30 yards, in every way, superior to any 3" .410 shotguns I've patterned. (hint, 2 1/2" .410's come much closer)
The best group accuracy I've seen with a larger bored smoothbore is a 1" group at 25 yards, shot by 3 different guys, same gun - 6 shots total, each firing 2. We were using 80gr. 2f, a .600" ball and a .020" denim patch, iirc - and needed a short starter for loading - I don't remember the lube. Taylor now has that gun, an English Fowler he made with/for LB.
The most accurate smoothbore I've shot at 50 yards was Taylor's Brown Bess, loaded with a .735" WW ball, .030" denim patch, moose snot for lube & 100gr. 2F. The 5 shot group was 2 1/2" - standing with side rest on a barricade, BUT - only one group was shot. That ball/patch combination requires a short starter, of course as the measurement comes to .795, loaded in a .774" bore, for .0105" compression on each side. Incidentally, it is a fairly easy loading combination in that gun - go figure - technique is the important factor, of course. Spend patches are reusable.
The second most accurate smoothbore I've shot was a 20 bore Taylor was doing some work on for a guy from Missouri. I managed a nice round 3" group off the bags for 5 consecutive shots. Only one group was shot. We used a .595" ball if I remember correctly, with moose snot lube and 85gr. 2F. The combination was too tight for the owner to use, of course, but we wanted to see what the gun would do with a descent hunting load and round ball. I think the balls were pure lead for this test. If mine and hunting for moose, I'd be using 100gr. to 120gr. 2F. 3 drams (or thereabouts) is not a heavy enough load for longer range shooting, to 100 yards, that is.
When shooting our trail which is not smoothbore friendly, guys are finally discovering that to shoot with any certainty at longer 50 to 100 yard ranges on the steel targets, they have to up their powder charges. Some use loads of 65gr. as standard, some 80gr. Upping the charges to 85gr. or 90gr. puts more lead on steel when the ranges are at the outside of the smoothbore's normal 'accuracy' range, which is close.
Using heavier charges for round ball in smoothbores was stuck home for me when working up loads for my 12 bore double ctg. gun. There are 3 different loads listed for smooth 12's in W.W.Greener's book. 115gr. 150gr. and 191gr. They are close to 4 1/4 drams, 5 1/2 drams and 7 drams, there being 27.3gr. in a dram. The heavier the charge I used in that 12 bore, the better the accuracy - at all ranges to 8 inches at 100 yards- 2 lefts, 2 rights. Many groups using the full 7 dram charge showed this accuracy - it was consistant.