[jmull]

Most people understand dairy products to mean things made from or containing milk.

There’s a pretty close association between such products and eggs, so I can understand why people might try to use the same label.

But ultimately I think this is just causing confusion and pointless side discussions (like this one!), so it would probably be better if we dropped it.

[spondylosaurus]

I disagree. Particularly in the "vegan versus vegetarian" debate, it's widely understood that what separates the former from the latter is milk and eggs.

And in this context specifically, it should be evident that regular mayonnaise isn't vegan, since vegans don't eat animal products. Which includes eggs!

[reducesuffering]

That doesn't mean that dairy is the singular word to refer to the difference between vegans and vegetarians. Dairy is widely understood to mean solely milk products. Vegetarian is vegan + dairy + eggs. Use a different word for dairy + eggs.