No, this is factual and has been well documented by numerous sources. This is just one example:
The U.S. government’s escalating attacks on noncitizens’ right to free speech, including our client Rümeysa Öztürk, should scare us all.
www.aclu.org
There is not "something else underlying." This woman was not (and has not been) charged with a crime, nor has she been linked to any criminal, terrorist, or even anti-semitic acts. Marco Rubio publicly stated "we gave you a visa to come and study and get a degree, not to become a social activist that tears up our university campuses." That is a direct quote from him.
It seems we need to be reminded that the First Amendment states "Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances." What she did was very clearly permitted under that amendment alone, and she is being punished because it government didn't like it.
The Supreme Court has repeatedly held that "people" means ALL people here, not US citizens. The founders explicitly used the term "citizen" when that's what they mean. "People" means our guests as well, and visa holders are our guests. Remember, visas ARE the primary "here legally" mechanism. Folks love to drop in the "all the folks here legally are fine" claim but that's not true if things like this happen.
Everybody who loves 2FA rights should be absolutely terrified right now, and it puzzles me that more aren't. Supporters who are always claiming they need this right to fend off an oppressive, authoritarian government are bafflingly silent right now in the face of that literal thing happening. The right to due process (for all people) is what stops the government from saying YOU are terrorists, just because they don't like you. If the President and other leaders can ignore the courts and laws of this country and do whatever s/he wants to anyone they dislike, what exactly stops the next Democratic leader from saying "guns bad, just take them all away, here's an executive order to do it"? If they can take away your 1st Amendment rights, what stops them from taking your 2nd?