YES! Couldn't agree more. Although my title has always been Software Engineer, I never introduce myself that way (I prefer Software Developer or just Programmer, or I say "I write code at XYZ").

I went to an engineering school. Actual engineers design bridges and machines and biochemical whatnot, and of course require licensing. I push code around.

I even try to subvert company culture and say things like "Well developers will need to update that API" instead of "engineers".