Generally, no. You might see it in grocery-store labeling as a tactic to signal the food is okay for vegans but to try and not turn off someone who goes “ick” if something specifically says its vegan. But it’s because “vegan” means the same thing in dietary terms. Vegan food is suitable for both vegans and people on plant-based diets, because the other things vegans are concerned with aren’t related to diet so aren’t relevant to the context.