I don’t claim that it leads to equality. That’s a problematic assertion.
I said that the relational words in Mandarin leads to (and enforces) a collectivist rather than than individualist mindset. There is less semantics about identity and more about relations. Identity is a reference to a self, whereas relational words refer to how a self relates to another self. The emphasis is on the relation — and the social expectations, responsibilities, and priveledges of that relation, and less on the identity of either the speaker or the person the speaker refers to.
So for example, I wouldn’t say “Bob”. I’d say “my da-ge” (big older brother). When I use the latter in conversations with other people, those people knows I have this relation I can lean on. When referring to younger siblings, I might not even use their names even if I could do so without being rude. I might say to someone else, “my xiao-de”, my little brother, making an implicit claim that this person is family, under my protection. Whether the kid is worthy of such protection, whether I personally want to or not, is secondary that there is a relation and there are expectations that goes with it.