I have to correct myself on some things i wrote above.
The edible items only display the wrong AP cost, in the Ap bar, where too much APs turn red - but when you use any of them they all actually cost 3 APs. As they should, according to their descriptions.
I know what's causing that: It's showing the AP costs for the things on a different skill bar, instead of the current skill bar. My wayfarer put some arrows on her Skillbar 3, but when mousing over the arrows, the AP gauge displayed the AP cost for the skills on Skillbar 1.