I also don't have a formal art education, so I would just look it up/Google it to read about the "technical" differences, but I (these are all just my opinions) think the term "abstract" has probably been blurred quite a bit, generally. I don't usually hear "non-representational art" used in the art world much when technically it probably would be the "correct" term for most work that's being referred to as abstract. Abstract is an umbrella term, in my eyes.
Like the joke I made, I hear it used to refer to decorative work, but who draws the line there? That's difficult. That's why I made the joke.
I have a wooden plank that I painted, which I use to display horizontally above our television. Everyone, including my gallerist, loves it and says, "I love that piece of yours." I always say, "Well, it's not one of my pieces. It's just decoration." A lot of people laugh because they don't realize what the damn difference might be, but that's okay. They think it's "fine art." It's not.
It's still art. It's just decorative art. It's non-representational--for the most part (there's a little stick figure scratched into it somewhere)--but it's been called an abstract because it's mainly just blocks of color.
What is is???!!!
But I am with you on the technical terms. I do see a difference though in "abstract art" as a general term vs.
"abstracted." I kinda look at "true" abstract art as non-representational art. Anything representational in it (to me), it's almost some kind of impressionism, but can still fall under as abstract art. But the more representational, the more it keeps leaning into impressionism, so lines keep blurring.
I think we have these terms as a baseline and not for finite purposes, ya know?
Not to keep blabbering, but one of my favorite artists is
Amy Sillman who has become one of the forefront living abstract artists. She's considered a genuine "abstract" artist. There are always representational elements in her work (something I love about it). That would fall under what you are talking about. She abstracts reality to enth degree as a painter in my book. Whereas someone like Rothko was seriously a non-representational painter. He is still called an "abstract" artist, just as Pollock was, and Twombly, and all those artists. Maybe it's just a term that's used loosely, like a spectrum.