It is the closest, but it doesn’t necessarily mean the same thing exactly. It is used interchangeably for lack of alternative. And of course, there is more than one way to explain each term (so depending which definitions you use, they can probably mean the same thing).
I was going with one meaning of Chareidi for the sake of simplicity, and since for the context, it wasn’t really necessary to use the other meaning.
I don’t have time to explain the differences/similarities between the terms right now, but maybe when I have a chance, bli neder.