I happen to own a modern reproduction Brown Bess. They basically took a Model 1756 long pattern musket and copied it using modern machinery. Aside from being new, the only difference between it and an authentic period musket is that the new modern reproduction doesn’t have marks all over it from everything being whacked into place and beat into submission during the hand-fitting of parts.
A Brown Bess has a .75" bore. It’s bigger than a 12 gauge, more like a 10 gauge.
A Brown Bess doesn’t have sights, but that doesn’t mean that you can’t aim it. The tang screw makes a functional (though admittedly less than ideal) rear sight and the bayonet lug on the front works for a front sight.
Smooth bore muskets always fire curve balls. This is because the round ball is going to randomly strike the side of the barrel as it travels down through it when fired, giving the ball a random spin. It’s going to go pretty straight for about 50 to 75 yards. After that, it’s going to curve off in some random direction. They used to say that you could stand 100 yards away from a single musketeer and not fear getting shot by him, which of course isn’t quite true but you get the point.
They usually didn’t bother to aim at individual soldiers. You leveled the musket at the enemy and fired in mass volleys, making a huge shotgun-type of effect on the enemy line. If you throw enough lead at the enemy you don’t need accuracy. Musket commands weren’t “ready, aim, fire”, they were “ready, present (often abbreviated to a one syllable slurred p’sent when in a hurry), fire”.
You can make the musket more accurate by using tighter fitting balls, but armies intentionally did not do that. Black powder quickly fouls the barrel, making reloading more and more difficult after each shot if the balls fit tightly. The 1.14 oz slug is accurate, assuming a 0.69 cal. round ball, which is about the size of the balls typically fired out of a Brown Bess (like I said, they intentionally used smaller looser fitting balls for faster and easier reloading). So that comparison with a 12 gauge slug is accurate.
Smoke is going to very quickly obscure the battlefield. When I go to the gun range, they usually stick me down on the end where the big cloud of smoke I send downrange won’t bother anyone.
I don’t know when they switched from plug bayonets to socket bayonets, but my 1756 model is set up for a socket bayonet, so there’s no need to take any time fixing the bayonet. The 1780 Redcoats in the OP aren’t going to have plug bayonets, they are going to have socket bayonets.
The British were very good at bayonet fighting, as George Washington learned the hard way. Poor old George got his ass kicked up and down the battlefields until he went into Valley Forge. Aside from nearly starving to death and all of the other horrors of Valley Forge, Washington’s troops got a good crash course in proper military discipline and proper bayonet fighting. Only then could his army go toe-to-toe with the British.
The British aren’t going to be helpless when the Romans reach them. Bayonet fighting was hugely important in the Brown Bess days, typically accounting for roughly a third of all battlefield casualties during the Napoleonic Wars and the American Revolution. The British strategy would not (as the OP presumes) be to stand in lines and fire volleys, but to fire volleys to weaken the enemy and then to finish them off with brutal bayonet fighting. The British lines could also move. They didn’t have to stand still and fire.
The British aren’t going to be firing every 20 seconds. British troops lined up by rank, typically 2 or 3 ranks deep. The front rank shoots then drops down to reload. While they are reloading, the second rank would fire, then they would drop down and reload. So what you really end up with is two or three volleys every 20 seconds, which is much more devastating.
Musketeers were required to be able to do 3 shots per minute, so the 20 seconds reload mentioned throughout this thread is accurate. That’s basically the minimum performance standard that all soldiers were required to meet.
I guarantee you my Brown Bess will shoot right through a Roman shield. The gun range I go to only allows paper targets, but if someone has a replica Roman shield and a place where we can shoot it, I’ll be happy to bring my musket out to prove it.