While you are correct that the Free Software Movement has slogans like "free as in freedom" and has a definition based on "the four freedoms," the Open Source Movement also recognizes and advocates for "Software Freedom" as well.
"We build a world where the freedoms and opportunities of Open Source software can be enjoyed by all." [1]
Software that is licensed under Apache 2.0, MIT, BSD, or any of the other so-called "permissive" licenses is labeled "Free Software" by the Free Software Movement as-is. It does not require a "relicense" to become Free Software.
Said another way: you don't have to use a copyleft license like the GPL to qualify for the "Free Software" label.
It is just a different name for the same thing, because there was a group that developed a vocabulary before another group existed.