Not defining the term. I am using the term how it is used. I hate to appeal to wikipedia, but they include wage labor in capitalism's central characteristics.
Happy to call economic democracy a variant of capitalism depending on the audience. It is odd tho with labor having a special role.
The difference from capitalism is the right to worker coop is inalienable in economic democracy, so working in a firm automatically grants control rights.
I am not a socialist, so cannot comment there