In your opinion what's the difference between the two? In my opinion both terms are frequently used interchangeably in the workplace.
But I'd like to consider myself as an engineer, because although I don't consider myself to be good at it, I think I cares about the software that I worked on, its interaction with other services, the big picture, and different kinds of small optimizations.
I mean, what is even engineering?
FWIW, at UCLA, computer engineering was a different degree than just computer science, and had more rigorous courses including electrical engineering and ethics courses. Many people dropped out and switched to the CS degree instead.