I liken a software engineer to someone like an architect. Architects will spend countless hours doing research, sketching out designs, creating documentation and presentations, and maybe even building to-scale models. But one thing they don’t do is actually build their designs. The constructions workers do that. And in the case of software (be it web or otherwise), those people are the developers.
Now, there are exceptions to every rule. I acknowledge that - especially in computing - it’s possible to blur lines. But I still feel there many more developers than there are real software engineers.