The funniest part of this article (in the context of being posted on HN) is that the author separately mentions engineer and software engineer in her list of client professions. That settles it - normal people think they're different.
I say this as a software engineer, does anyone honestly believe that software engineers are engineers?
There is no certifing body (in most countries) on who can call themselves engineers unlike doctors or lawyers.
So it is really up to you , whether you see what you do as engineering (not only with software) or not