Its not that one side wants the other to suffer or stay poor/oppressed so they can feel exceptional. They dont want to feel their entire struggle and outsized contribution was for nothing. The other people dont factor in at all - they are trying to feed their family first (humans are gonna human). Why bother being a nurse and doing all that night school if they could just be support staff and get paid the same without the responsibility + extra loans? We are not even talking about the real rich vs poor here, so even thou the idea is to close the rich/poor gap - the solution of not raising adjacent workers pay to get it done, does nothing to solve it and only introduces obstacles to the real goal.
I think discussions like minimum wage end up talking past each other (as happened with my friend and I over many talks). It is desperate for a divergent solution. I dont have one that doesnt involve completely rebuilding every social/societal construct from it's foundation. Basically pointless and not something thats going to happen. But I am sure someone smarter than me can find a 3rd way without adding bugs/negative effects to other branches