If you are paid for it, then yes, by definition you are.I guess I am pretty much a professional at everything I do then, because I have "skillsets" inside various types of subjects.
That's not how the world works, you'll probably get that, when you get older, I guess.
Moreover, the definition of amateur is that you are not paid. You're mistakenly under the impression that professional/amateur relates to the level of skill you posses. It doesn't necessarily, the only requirement is that someone is paying you for the work.
A person without the same education wouldn't be hired for the same job. IE. Would not be a professional because they would not be paid. If through whatever reason they were hired when they shouldn't be, they would be professional whether you liked it or not. It's not subjective.A person without the same education, working along us, wouldn't be seen as a professional like us, regardless of them receiving the same paycheck as us.