Researchers have linked dietary data from over 55,000 individuals with data on the environmental impacts of the foods they eat. The team, from the Livestock, Environment and People (LEAP) project at the University of Oxford, found that the dietary impacts of vegans were around a third of those of high meat eaters. They also saw a 30% difference between high- and low-meat diets for most of the measures of environmental harm.
Telling people to go vegan generally includes not eating honey since it’s an animal by-product, just like eggs, animal milk, or cheeses.
Now, if you want to tell them to eat a vegetarian diet, then yeah, honey, eggs, animal milk, cheese, etc, would all still be on the table.