No sorry - an ellipsis is the meatballs menu, not a hamburger. Different things. There’s also the kebab menu (also a different thing) and the fighting corn dogs menu …
A restaurant menu contains hamburgers, hotdogs, meatballs. A UI menu is represented by abstract icons of the items contained within a restaurant menu.
Now I am starting to like the hamburger menu after all… perhaps more as satire though. :)
For what it’s worth, ellipsis is the best of the bunch, because it means the same thing as in the written language, and is concise enough to use as a button that suggests what the action does.