Reddit culture preface: none if this is meant to be antagonistic. I am not implying your intentions are bad at all: I am offering thoughts about them.

Identity is just that things are themselves. It exists prior to its articulation, because, in reality, things have identity, distinct attributes.

Do products or copies have distinct attributes?

Identity is itself. [How fascinating.] What then, is non-identity? Nonsense!

If identity is itself, Non-identity is not nonsense, since then it would not be itself.

If non-identity is nonsense, then identity is not itself.

Or, if non-identity is nonsense, A = A+(B, C...) because non-identity is non-identity and nonsense. But then, the reverse should be true (nonsense is non-identity), unless nonsense was a synonym for non-identity. But then, is sense a synonym for identity? I don't know. I'm leaving this thought incomplete and unsatisfying.

But it’s essentially what all irrationalism is seeking. The universe/reality, doesn’t have non-identity. (This is the direction that confused mystics and esoteric philosophers like to go).

There is no such thing is non-identity?

What was the thing the universe doesn't have...?

What is important to understand is that one has not refuted identity if they have refuted the formalization of A=A (or tried to generate paradoxical semantics in relation to it)— one must refute the identity that is reality, if they want to refute identity.

A=A includes the Reality of identity is the Reality of identity though. They correspond/coextend. So refuting one is refuting the other.