Maybe the appropriate title is missing since the concept is so new.

I think an appropriate name might convey a mix of the concepts: problem solving, design, creative, abstract, structure.

If you add "rigor" to this, you have a good general, multidisciplinary, description of an "engineer". I think this slight, but important, difference is why people want to use "engineer" for non rigorous software.

In reality, you probably have some gradient between "software designer" (the ever fluid art and design of software) and "software engineer" (proven critical systems).