You need to re-read Medaka profile because she does have concept manipulation.
Conceptual Manipulation (All Fiction is capable of Erasing Concepts from Existence),
Memory Manipulation (Can erase other's memories about her with Mister Unknown and All Fiction is capable of Erasing memories),
Durability Negation,
Plot Manipulation (Her status as the "Hero" causes the story to always flow in her favor, no matter what odds stand against her, forcing
Plot-Induced Stupidity onto others so that she can win),
Word Manipulation, can ignore plot-based defenses to an extent, possibly many others.