Non-pasteurized honey (almost guaranteed to be what the Hadza consume) also has antioxidants and prebiotic properties that normal sugars don't.
The statements I was responding to claimed that "until recently it was very expensive to get sugar" and then "honey is not the same as refined sugar". Honey is refined sugar formed by the same process as HFCS[0], and some hunter-gatherers get a surprisingly high amount of daily calories from it with seemingly little impact on their health.
[0] From a different precursor, but the general process of breaking down complex carbohydrates into simple sugars is the same, and so is the output