>I think we need to either redefine what equality means or replace the word altogether

I don't necessarily disagree. What do you propose? Maybe just an acknowledgement that people don't all have exactly the same needs but we should still try to meet as many peoples' needs as possible?

That being said, our needs are not necessarily that different. We may not all have exactly the same dietary needs, but we all have dietary needs. We may not all have the same medical needs, but we all have medical needs. We may not all need the same kind of shelter, but we all need shelter, etc.

Plus, there are things that are intrinsically shared, like culture, language, belief systems, etc. Those are things human beings need to live a good life, and those things are social in nature.