I understand what you are saying.
Two things though.
Sword skills count differently from the set of combat, non-combat and passive skills.
It is explained that, players start off with two skill slots to use to obtain a skill that is either a combat, non-combat or passive skill. It is also explained that as players level up, they can unlock more of these slots to get more skills. Kirito was level 96, with twelve slots. Meaning it takes about 9 levels to get another slot to get a skill. That's why we are limitating it to 12 at the point in time.

Edit:
Checked over it, it looks fine now. But I would wait for a final confirmation from Caits or El_Tigre. Get a second check over from someone else in case I missed something, you know? You can probably start posting when one of them give you the thumbs up.