It seems like you're projecting modern abundance backwards onto a period of relative scarcity. Hunter-gatherers could not possibly have satisfied half of their calories with honey.

A google search indicates that: a) a pound of honey (~1500 calories) would account for a little over half of a man's daily required calories (Google says 2500, but presumably an active hunter-gatherer required more), and b) the average (wild) beehive creates ~50 pounds of honey per year.

For a single man to satisfy half of his caloric intake with honey, he'd have to consume ~7.3 beehives per year. A tribe of 100 would consume the production of ~700 wild beehives each year!