I don't know where "software engineer" started but in Australia engineers have to study for years and then do a minimum amount of study every year to keep their license. Which we don't have to do. I've always been weirded out by Software Engineer even though it seems to be becoming more common.
Engineering is engineering. You design it, you build it, you test it. Engineering. We shouldn't gatekeep words.
With that said, I recognize that certain engineering disciplines have overlap with public safety, and should come with some qualifications to back it up.
Single software engineer can nowadays do more harm than most of other engineers. Just one SQL injection and all the people's personal data have been leaked. Single bug in car self driving software and the car drives in to school bus.
I like the title only because I got a degree in computer engineering and passed the fundamentals of electrical engineering exam. I definitely don't do any engineering but it makes me feel like my degree wasn't a waste.
Edit: also that was an 8 hour test that I really took for no reason.
Software engineer is an accurate term for a lot of roles. The problem is when software engineers step out of their lane and start pontificating about other engineering fields.
You have to do that to be a "Chartered Engineer", "Professional Engineer" etc. Some states require you to have some kind of registration to practice in some roles.
"Engineer" remains an unprotected term in all states and territories as far as I know but I could be wrong. It's definitely unprotected federally.