I think the thing is that Americans are confused by the term Chareidi because it’s not really used in America, so Americans think it refers to some kind of movement. But that’s not how most Israelis use the term. Whenever I told an Israeli that I wasn’t Chareidi (before I figured out that I was), they would look surprised and ask me in what way I wasn’t Chareidi. They consider anyone who is Frum to be Chareidi.
Chareidi is the hebrew word for Frum. There is no other word for Frum in hebrew.