We feed our chickens very well and about half the year they have access to our garden. The rest of the time they are nearly free range, meaning I have them fenced on one side so they can come and go on the other bounded on two sides by water. There is a limit as to how far they will wander in any direction from the hen house.
They most certainly LOVE meat and insects. They seem to me to have a preference for it - it's a total feeding frenzy whenever I take them some meat scraps. Grubs, worms, grasshoppers, deer meat, fish entrails - YUM! Maybe because it's harder to come by.
We have never given them a steady diet of fish carcass, but when we have we never noticed anything different about the flavor of the eggs or the chickens.
Somehow they seem to know what they should eat. When we had a problem with blister beetles in our garden the chickens would not even touch them. How do they know? Anyway since they are selective I don't think they would eat a honey bee.
When we had guineas, they would often eat wasps, which I enjoyed seeing. So I don't know whether guineas might eat yellow jackets, or honey bees or anything else. Saw them eat a lot of wasps though. I've never seen our chickens eat anything like that.