The menu items would need to be descriptive about the ingredients used for someone who is actually vegetarian or vegan to know if the ingredients used truly is or not then.
I also get that these kinds of meals are generally cooked alongside or on cooking materials that may have come into contact with meat, but I haven't found a vegan/vegetarian friend that has been sensitive to that detail (unless it explicitly states it's cooked on grills and pans that had meat on them).