As somebody who spend a decade being vegetarian, I don't get how people can say "this dish is vegetarian", and then have cheese and egg in it.
Please don't, just don't.
I'm cool with lacto-ovo vegetarian, or some less pedantic version of that name for common parlance, but please don't put "vegetarian" on recipes that ... need animals.
Please, show me the cheese plant and the egg tree, prove me wrong!