Well if they're only labels, what's the point in debating it?

It's like trying to debate the difference between 'pornography' and 'art', or 'music' and 'noise' for instance.

Indeed taxonomists themselves are constantly arguing about how best to classify organisms, as many things don't fit comfortably in either the 'plant' or 'animal' box.

If you object to being classified as a primate on religious grounds, then there is nothing more to be said.

It's like certain religious people saying that women are intellectually inferior than men - there is nothing that can be said to change their opinion either.