More importantly, no contemporary hunter-gatherers are a good model for pre-agricultural people (to call them hunter-gatherers at that time is to imply there were other sorts of people, which there were not). The remaining people practicing such a folkway live on marginal land, the harsh truth of human existence being that if it was rich enough for agriculture, or good for pastoralism, those lifestyles would have won out.
Evidence for eating anything we could get our hands on, including quite a bit of meat, is abundant in paleoarchaeology.
What no one ate as much of is grains, specifically ground grains. We know this because, while grinding stones date back hundreds of thousands of years, the tooth wear patterns which indicate a diet primarily based on flour are not evident in remains until agriculture.
My point being that the Hadza speciality in honey-scavenging is much like the Inuit speciality in seals: it's an adaptation to circumstances which suits them, but probably doesn't teach us much about how we can eat healthy, or much about how our pre-agricultural ancestors tended to eat.