Confused with the revamped Dawn Warrior

I noticed the range difference the other day while browsing the FM. A 1H sword with 11 more attack and decent potential lowered my range about 4k, compared to my Stonetooth. I am not quite sure of the numbers behind this, because multipliers (in my mind) wouldn't make that much of a difference between 1H and 2H. However, if you already have a 2H sword that you have invested in, then I suggest keeping it, since you can get a secondary equip for Cygnus Knights called Ereve Brilliance, I believe. This item can receive potential (and be shared between characters, if you were to get a good potential that is viable on other characters), and still be equipped when you are wearing a 2H sword, so you aren't losing a whole lot from 1H + Shield. As far as reaching speed cap, I want to say yes, IF you are using the solar attunement or Equinox Cycle. This gives you +2 attack speed on top of your booster. Normal weapons are 4 and 5, correct? At 5, the booster and solar buff will bring you to the cap. Even at 6, you will reach the cap.

EDIT:

They only use 2h swords.

They were changed to use both 1H and 2H swords. They originally only used 2H, but this changed (while they were still in Tespia? I don't know the time frame).