Minor Thing

What are you going to do next, try to remove Hooked Cutlass from every category because "Sword" and "weapon" aren't mentioned in it's description?

The most important thing to consider when categorizing things here is game mechanics, not graphical appearance or text. What an npc says about where they're sending you is irrelevant outside of storyline recap pages.

AFAIK, the term "mission" is never used ingame, the term "shadow mission" is the only term used ingame to describe this kind of mission.