I have no issue with Coxe's inclusion of swords. The context is the difference between arms and ordnance.
Evidently you really do believe that he was specifically referencing "swords" and not all weapons of the soldier.
Having discussed this issue with others over the years I have concluded that your opinion is one adopted by those who are troubled by the fact that the Second Amendment has no limitations to the arms protected.
Man's ingenuity has certainly created "arms" which could only barely be imagined by our Founders and some which exceed the destructive power even imaginable.
Nuclear weapons, for example, those with explosive power in the range of tens of thousands of tons of TNT, are probably beyond what our Founders would have considered protected.
The solution to such a dilemma is obvious; amend the Constitution to exclude them.
The reason this hasn't happened is because there is NO bright line distinction which would make sense to replace what we already have.
People with similar opinions to yours would outlaw machine guns because they can fire 600 rounds per minute. How many rounds per minute should then be allowed? There is no mechanism for making such a decision. As is actually happening, there will be a minority who would outlaw arms if they could fire more than ONE round per minute.
Battleships at one time were among the most fearsome of weapons. If a person brought their privately owned battleship into San Francisco Bay, for example, there was a time when they could have caused massive damage to the city before any response to such an attack could be made.
So the question for you is; where is your bright line? How many rounds fired per minute? What caliber? How many guns per person? How much black powder?
Another question would be; "At what point did the people who freed Boston from the occupying army, change from rebels who were committing treason and possessing arms to which they were not entitled, into the legitimate armed forces of the United States?
The winners of wars get to write the history. Had our Founders lost the war, they would have been hanged and we would very likely not be having this discussion.