Something else to keep in mind with swords being Weapon: 2 instead of Weapon: 3... Weapon: 2 is for weapons which can be used one-handed. If the sword is a two-handed sword (claymore and nodachi, etc) then that is a Weapon: 3. Also, depending on how the GM wishes to rule it, a sword which can be used one or two-handed could be either.
Something small, like a gladius or smallsword would only be Weapon: 2, but a heftier sword like a clayberg, or perhaps a katana, could very well cross over into Weapon: 3 territory. Something else to keep in mind, the Weapon ranking are really suggestions.
Look again at what is considered Weapon: 2
Swords, baseball bats,
batons, most pistols
Now, according to the quoted text, a baseball bat and a regular longsword are both equally dangerous. Granted, either one can be used to injure/kill someone, a longsword of roughly the same size and weight as a baseball bat will have a cutting edge which the bat won't. Dropping a bat onto your foot would likely hurt, and might break a toe or toes. Dropping a longsword onto your foot, especially if it fell point or edge fit, could sever toes or possible cause loss of the foot itself.
-Cheers