Wouldn't someone talking to someone "lower" on the "oppression hierarchy" just be what we basically have today? That sounds like "privilege," or an "imbalanced power dynamic." I think you'll only be able to talk to equals, whatever that is, and by whatever metric is en vogue for that day.
In that circumstance, I think it is clear that my sexual orientation is the basis by which they are judging the authoritativeness I have to speak on the topic. Never mind the formal qualifications, or the logic or veracity of what I am actually saying. Like, I know we all have little unconscious checklists like that for judging whether someone is credible, but it is uncomfortable to see the effect live.
Someone wants to disagree with whatever nonsense the hivemind is raving about in the moment, but in order to do so they have to prostrate themselves and make it clear whose side they're on before they make their (often very valid) point.
e.g. "I hate Trump just has much as the rest of you but..." or "Look we need to be super supportive of X group and my dad is actually X but..."
So if I preface an opinion with 'X, but', it may not be all about begging for the right to dissent; I may have good reason to think that, without the preface, what I say will signal some beliefs or values that I don't hold. If those things are genuinely hurtful to a vulnerable group, or simply reprehensible to me, then I have good reason to disavow them, regardless of whether I need to do so in order to be heard.
If I'm hyper-paranoid about my statement signaling beliefs I don't hold, isn't that just an indication that people are trying to assume too much based on that "signaling"?