The Dryad Companion doesnt seem to be rendering its Inventory section in the Gear menu, if you load it up to a caravan, go somewhere without unpacking, or just let it haul stuff,
it only has Equipment section, while every other animal / pawn has Inventory.

Since animals dont wear armor, we see a list rather than icons, normally.
yet the Dryad Companions dont seem to be having an Inventory section there. Just Equipment, thus their inventory items are invisible.

companiondryad's inventory = https://i.imgur.com/syo257G.png

a horse's inventory = https://i.imgur.com/BLXDTLg.png