Oh no, we do, because the software world has been abusing what engineering means for decades, in order to inflate job titles. Most people are programmers, not software engineers, and that's OK.
But it is indeed engineering, and that’s OK.
Do you have some other definition of engineering that excludes SWE?
Here is the definition https://dictionary.cambridge.org/dictionary/english/engineer...
Many people's lives do depend on software today. Insurance software dictates who gets treatment and who doesn't; that's real lives at stake. Finance software controls access to things like food and shelter; that's real lives at stake. Firmware in prosthetics and diabetic injectors and so on and so forth. Software runs the world, we pat ourselves on the back saying, but forget the world is full of real lives.
(At one point I even debated the value of getting PE credentials at my age for extra leverage in that company.)