I trained as an electrical engineer (but I'm now %100 software), yes there was a lot about responsibility, safety etc, but to me the core of engineering and in being an engineer is to be able to apply theoretical math and physics concepts to real world problems.
That is why I did what I did, I didn't want to be an engineer to be an on time, on budget, project manager. I did it to combine design, maths and physics to build real world solutions to problems.
And this is why I would 100% consider myself a software engineer.
The accreditation and certification is missing (so far) because we are still figuring out the best ways to apply engineering to building abstractions (which is what I believe our field is). To me this doesn't make us any less engineers.