As I said, I wasn't sure what you meant by "current identity", which is why I provided two versions of what you might mean.

I was hoping you might endorse one or the other of them, but oh well.

Anyway, yes, if we generalize your point about my name to also include where I was born and what my native language was and what religion I was raised in and the million other demographic data that distinguish me from my ten-years-ago peer, then I agree with you.