There is a common practice of referring to the Jamaraat as devils; that is, they are called the big devil, the middle devil, and the small devil. Is such naming correct?

No, that is not correct. These three Jamarat are not representations or symbols of Satan. Nor is it correct to say that throwing stones at them means stoning Satan. This is a misconception and a misguided belief. When people throw pebbles at the Jamarat with this mistaken notion, their emotions become distorted and they go to excess. As a result, various unfortunate incidents occur. Let us refrain from erroneous beliefs.