It’s not as simple as that. Human life does not have a sharp beginning, as does individual existence. The chain of life is unbroken, for each human to be born.
You don’t want it to be that simple, but it is. You are purposely conflating organ with organism. It’s not unusual for those trying to defend killing the alive unborn. A zygote is an organism; a spermatazoon is a sub unit formed in an organ of an organism. Denial doesn’t chnage reality.
Perhaps. But we can certainly point to the time that an individual human being comes into existence. Slick language can only serve to obscure the facts, it can not change them.