@MangyInseam, I don't disagree as such, but I do take a slightly different angle from the PoV of this thread, i.e. "how to negotiate".
My take - again, supposing we were negotiating as per the thread title - would be a pragmatic "okay, so this whole 'oppressor opressed' situation appears to be important to my counterpart. Am I willing to formally concede the position of 'most oppressed' in favour of something that's of more value to me?"
Generally speaking, coming from the same angle, I suspect that the GC side at large underestimates, vastly so, how much value / strategic interest the notions of "validation and acceptance" hold for the other side. It's why "third spaces" won't be acceptable for e.g. changing rooms: they don't serve the strategic interest of the opposing side when that interest happens to be "validation".
OTOH, I also think any post-modernist influenced TRA perspective clearly doesn't get, on a very fundamental level, that material facts such as "chromosomes" trump factors such as "identity" to their opponents. That's just ... simply "not even that much of a thing" if you're coming from the angle of social constructivism. And, given that most of us have an innate tendency to project our own worldview upon others, tends to result in some ill-conceived notion of "those people have some sort of an identity-thing going on based on genitals". Hence arguments such as "sex is a spectrum" and the likes of it: if you believe that your opponent genuinely somehow links physical bodies to identity, it's actually a reasonable approach towards trying to bring them to your side. Of course, it works about as well as "third spaces, though" because it, too, misses the strategic interest of the other side quire spectacularly.
Now, I have my personal position in this debate. Very much so. Having said that, and coming back to the topic of the thread: if you're looking to carve out a ZOPA, the approach must not be based on "what I think the others want" but on genuinely listening, taking two, three or four steps of abstraction back, and from there: formulating what the others really want. And then, shaping your own strategy around trying to accommodate that without crossing your own red lines.
In all fairness: there are situations in which one or both parties' best option is to walk away from negotiating. In business, this tends to bruise egos but is rather simple overall: you simply pick another option (e.g.: putting the people you were going to have on project X to work for Y, where the client is more amenable to your terms, instead). In society at large, this is nowhere near as easy, but could include BATNAs (best alternative to a negotiated agreement) such as "okay, fine, we set up out own XYZ all over again".