Hillel Wayne wrote a really excellent well researched article about software engineering compared to other forms of engineering a few years ago. It necessarily goes into a lot of this stuff but what emerges is that these definitions are regulatory and historical debris.
You don't need medical board or a bar to certify or constrain professional behavior and those organizations may not constrain as much as you assume anyway. The reasons we do have those institutions is as much a matter of historical accident as any modern need for it, and the reasons we don't have it for other high impact fields is pretty much an accident too.
And in a lot of the world software engineering does have professional certification and standards of practice. They still ship adware and racist loan denial algorithms too.
Your definition would include Chiropractors as a profession. Such scum of the earth deserves nothing but contempt with extreme prejudice.
Every part of your existing job is transforming before your eyes.
If you cling to definitions and static roles, you're going to have a bad time.