Its not a plants rights argument. Its just pointing out hypocrisy.
Plants are alive. As best we can tell, they want to keep being alive. They communicate danger to each other. They make sound when they are harmed. People who don't eat honey because of bees' rights should unironically be taking plants rights seriously. They don't because they'd have to come to the logical conclusion that there currently is no way to eat that doesn't deprive another living being of its rights. I mean, I suppose you could have an entirely fruit-based diet as plants want you to eat their fruits, but I don't think a human can survive long term on fruit alone.