No, what is splitting hairs is using the word "unique". I mean, what we base "unique" on is so arbitrary. It could be said one sperm is unique from another simply by virtue of the fact that they are different cells. Now, you say it's based on the genetic code, but what exactly makes that the objective standard? Nothing, plain and simple. The gist is, it's an arbitrary standard, just like when a zygote, or a fetus, even, becomes a person is an arbitrary standard.
Anyway, you can say a zygote is unique all you want, but it's still not a human being, nor is it conscious, nor is it capable of experiencing pain, etc. So how then, is killing the unique zygote any different from killing, say, the unique plant? And please, before you talk about how the zygote has the "potential to be human", let me refer you back to post #77.