I know all that, but it’s still too limited. It doesn’t say each person is strictly privileged or strictly oppressed, but it does say each aspect of the person like race, gender, sexuality fits on a single line from most oppressed to most privileged. It recognises that a white person or a man can suffer discrimination due to poverty or a disability, but it insists being white and being a man is always and everywhere an advantage. It says individual instances of racism against whites, sexism against men etc don’t count or aren’t as important (“racism is prejudice + power”), thereby condoning unequal treatment and even bigotry.
Progressivism doesn’t say your two hypothetical people should sit down and shut up, but progressives very frequently do say that people should defer to those judged more oppressed on a given axis, when discussing it. I have experienced this myself: disapproval for talking about eg racial issues; sudden deference when talking about gender. And progressives frequently say that the problems of those who are more oppressed on a given axis are strictly more important and urgent than those of people who are less oppressed. I’ve seen it compared to triage in a hospital, where the white man has a cut finger and the disabled black woman is having a heart attack.
This paradigm struggles to handle groups who are privileged in some ways and not in others: wealth and success, and members of a group being well-represented in influential positions in politics, journalism, and academia are seen as evidence of privilege, and (probably more justifiably) as things that create privilege for a group. The existence of wealthy doners who belong to the group, and will put pressure on universities to fire presidents who don’t stand up for it, is a genuine advantage. Yet at the same time, that group can still be subject to prejudice, harassment, hate crimes. Are they oppressed or privileged due to that group identity?
Now apply this paradigm to Israel and Palestine. Israelis are objectively far better off. They are much more powerful. Palestinians genuinely are oppressed by the Israeli government. Since racism = prejudice + power, this implies Palestinians cannot be anti-Semitic. They are fighting against oppression, and progressives should always support groups who are fighting against oppression. Older progressives mostly object to this conclusion and try to find a way around it. Younger ones seem more inclined to embrace it.
And back in America, Muslims are more oppressed than Jews. That means when discussing religious/ethnic bigotry, the latter are expected to defer to the former. If Muslims say ‘from the river to the sea’ is a peaceful call for coexistence, good progressives are expected to believe them.
You are not the arbiter of progressive views, any more than a never-Trumper gets to say the MAGA movement is not real Republicanism. You just admitted college students commonly misinterpret progressivism, and it’s a live movement whose views are still evolving. I am talking about what I see on social media and the news, whether you believe those views are ‘correct’ by some standard or not.