Do you even mean this as a serious argument? Can your favorite field survive politician's (politician, from "polis", city, and "-tician", "person": 1. professional liar 2. scumbag 3. one who professionally holds office) handling of their terminology?
Nor can I find it a terribly serious argument that "common people", i.e., people who aren't in the field and don't know the definition, don't know the definition. That's just shy of begging the question, except there's a small sliver of people "in the field" who don't yet know the definitions, called students.
I'm trying my best to unpack your words into some sort of actual argument but I can't find it.
I know you didn't really mean this, but polit/ic/ian -- "polit" is from polis, city; "ic" is a Greek adjective-forming element; and "an" or here "ian" is a Latin adjective-forming element. "Polit" is the only part of the word that bears any semantics (in the etymology). The Greek root for person would be "anthrop", which isn't present.
(The root for "man", an adult male, is "andr", which is why it's so hilarious to Italians that English speakers think Andrea is a girl's name.)
Rational actor and rational investor, the same. Rational market, different. But I only know the term "rational market" through its use in the fixed expression "the market can stay irrational longer than you can stay solvent".
> Do you think as people commonly understand these terms (I don't mean economists) the answer would be the same?
I guess I can't really speak to this.
Let me ask you a question. Do you think the word "rational" in rational actor, rational investor and rational market, has exactly the same meaning? Do you think as people commonly understand these terms (I don't mean economists) the answer would be the same?