This is a ridiculous word game. The term "Social Democrat" has been used to describe all sorts of ideas from Lenin in the early 20th Century to George Meany. Many parties in the Socialist International are "Social Democratic" parties. The meaning of the term relates to the context and the country.
If you consider yourself socialists, why are you a member of the "Socialist International"? Their membership rolls are hardly parties I would associate with, from neoliberals to so-corrupt-they-are-practically-gangsters kind of parties. By that standard the DSA seem, if ineffectual, but pretty alright.
"I want to say sweet, silly things." - V.I Lenin