The traditional Ache eat plenty of both honey AND larvae/insects (including the bee larvae in hives that comes with honey).
"
Cerambycid larva, which feed on rotting palms, and at least 10 other larval types are eaten frequently. The
adult forms of at least 5 insects are eaten, and
at least 14 different kinds of honey are taken, the most common being that of Apis melifera." (Kim Hill and Kristen Hawkes, Neotropical Hunting among the Ache of Eastern Paraguay, p. 142)
The world history of beekeeping and honey hunting By Eva Crane
p. 96: "Hill et al. (1984) made a quantitative study on a group of Ache hunter-gatherers in eastern Paraguay. Bees' nests in the forests provided an appreciable proportion of their food, and in the 1980s this contained much more honey from (Africanized) honey bees than from native stingless bees. The total calorie intake on different hunting trips averaged 3827 Kcal per man per day, of which 47% to 77% was provided by meat,
0.4% to 44% by honey and 6% to 45% by vegetable material and
insect larvae. The calorie intake from honey bee nests (
honey + larvae) was more regular and--if both sources were available--very much higher than that from nests of stingless bees.
.... Figure 12.4b shows a typical scene of instant enjoyment when such combs containing honey and/or brood were eaten warm from the nest. Gilmore (1963), writing on ethnozoology in South America, said that A. mellifera was 'feral in many places, where its nests in trees are exploited as are those of native species. Its light honey sharply contrasts with the dark 'strong' product of the stingless species.' .... Metraux (1963) reported that the Apapocuva (a Guarani people in Paraguay and southern Brazil) collected honey, and that they 'spare several combs so that the bees can return. ... They also acclimatize swarms of bees to their villages.' It seems likely that this also refers to A. mellifera [stinging bees]."
p. 579: "The amounts of the four main components of a large number of honey samples from four countries (Crane, 1990a) were:
Component - Range (%) - Average (%)
water - 13-26 - 17.0%
fructose - 22-54% - 39.3%
glucose - 20-44% - 32.9%
sucrose - 0-8% - 2.3%
Acids (especially gluconic), minerals, amino acids and proteins, enzymes and aroma components, constitute no more than 1% of the honey."
Interestingly, because so much of the Ache diet consists of meats, insects and honey, the "Ache women's contribution to the diet is considerably lower than that observed for men." (Female subsistence strategies among Ache hunter-gatherers of Eastern Paraguay, Ana Magdalena Hurtado, Kristen Hawkes, Kim Hill and Hillard Kaplan, HUMAN ECOLOGY, Volume 13, Number 1, 1-28, DOI: 10.1007/BF01531086,
http://www.springerlink.com/content/ku205j41j1864502). So the claim of some vegetarians that women always provide much more of the calories than men for all traditional cultures is false.