I think that's the generally accepted meaning of "arms".
Toad, from the second link you posted:
"Great Britain ought not to complain: for, since the date of the order forbidding that any of the belligerent powers should equip themselves in our ports with our arms, these two cannon are all that have escaped the vigilance of our officers, on the part of their enemies."
Thomas Jefferson
"It seems fairly clear that the Founders and their informed contemporaries understood the term "arms" to be synonymous with what we call "weapons." They did not use that overarching meaning at all times, sometimes referring to particular types of weapons like small arms as simply "arms." But the Founders' generation were certainly willing to apply the term to more powerful and traditionally "military-only" weapons. This is evident in the writings that prove they thought it very important to have an armed populace capable of resisting foreign invasion and domestic tyranny alike."
"If we take a textualist approach to interpreting the Constitution, we find that all military weapons are considered "arms" for the purposes of the Second Amendment. Although recognizing the keeping and bearing of arms as a fundamental individual right can rein in judges intent on eroding our constitutional freedoms, it also causes huge problems if we let the right run wild."
The thrust of that article is that even nukes are allowed by the second amendment, but:
" I think the preamble supports the idea that we the people can rein in someone's claim to a "right" if that right presents enough of a threat to our domestic tranquility, and if the general welfare of our people is in enough danger. The danger posed by powerful weapons controlled by incompetent, careless, or malevolent individuals obviously qualifies."
In other words, the only difference between your "freedoms" and ours as far as guns go is a measure of degree.