I could be wrong, but I think that the tooltip is an extremely poorly worded attempt at saying that Perception is the stat that the Appraisal Efficiency is based off of.

Consider crafting. Progress and Quality actions have Efficiency. Progress action (Synthesis moves) Efficiency is based off of you Craftsmanship. Quality action (Touch moves) Efficiency is based off of your Control.

I think it is the same thing here, the Efficiency is based off of your Perception, but as stated above, it does suffer from a cap.