Nestle (NESN.S) and Hershey (HSY.N) said they paid the LID premium.
But when the COVID pandemic cratered demand, global cocoa prices plunged before they built up a cushion.
Ivory Coast and Ghana say companies should pay both premiums.
Industry data from the International Cocoa Organisation (ICCO) shows cocoa output in Ivory Coast rose to record levels in the 2020/21 season.
Of the roughly 2 million tonnes of cocoa Ivory Coast produces each year, between 20-30% is grown illegally in protected forests by an estimated 1.3 million people, many of them children.