Something I definitely like about this game is that skills are bound to weapons, but skill Levels are bound to the character.
You might not be able to use Leaping Strike with every weapon, but it'll still be as good with one as the other - unless it's a different weapon type
Seeing as skill levels don't carry between weapon types, I think it'd be easier to change the names for the skills to reflect what weapon type it is. I suppose this is primarily a Sword/Oodachi thing, but would still be nice.
For example, Leaping Strike for an Oodachi being something like Great Leaping Strike. Tag on a "Great" to let us know it's a different skill.
It would also help with the Skill Window - I have 3 "Leaping Strike III" and 4 "Void Slash III", most likely coming from three and four weapon types having that same skill - But without a different name, it's impossible to tell which weapon has which skill level attached to it