Honey is not vomit as it does not reach the stomach. They store it in a special chamber in their esophagus.
Honey is the result of bees deepthroating nectar then spitting it out.
https://busybeekeeping.com/is-honey-bee-poop-or-bee-vomit-heres-the-truth/
Why “Pooh”? It’s not a bear. Why not “defecate”?