Do... Do you think software on its own needs no engineering?
If I say please build me a webshop from scratch, do I need a "computer engineer" which presumingly includes hardware knowledge by your distinction? Probably not. Is a code monkey going to build me the website? Also probably not.
So somewhere inbetween the two, you probably need a position that can engineer complex pieces of computer code, along with its design and architecture - we could even call it something short, like a software engineer or something