You see the dropdown on top of the editor that says Device?Don't you switch between outputs manually in PEACE? How does APO know?
If you set it up this way, you can see the EQ curve on the bottom change as you change device.
However, if you unplug a headphone and swap to another headphone, you'd have to manually change the EQ curve in EAPO at the DAC device level. This works if you have a DAC, another output dedicated for another device and BT headphones let's say.