There’s no such thing as “chili without beans”. There’s just chili - some people put beans in it (and ruin it) and some people eat is pure. Chili by it’s very essence has no beans. You have to put the beans in the chili. Then you have chili-beans. When you eat a chili-dog, do you put beans in your chili?
See my rebuttal below.
And yes to the bean chili dog. If there aint no beans it aint a chili dog.