Let's get into this from the perspective of consciousness in beings. You know you are conscious. I know I am conscious. But is a baby that hasn't even developed in the womb conscious?
It's the subtle difference between animated machines and humans. By animated machines, I include all the AI that are emerging nowadays. Even though they might be animated, or they may portray consciousness, are they really conscious? The answer is no. They are designed to look conscious and this difference can be smelled from a mile away. We have all used Alexa, Siri, and Cortana to do our bidding time and again, and don't think twice before shutting them off or even erasing or deleting them simply because they aren't conscious of themselves and don't have the human desire to live.

A similar argument which I'd like to make is about machines. They are simply animated with responses designed in them. They don't have a will of their own. Similar to how a baby inside the womb is more of a machine which develops from the splitting of cells. That goes on until the time that it can actually be conscious of it's being sometime during the seventh, eighth and ninth months of pregnancy. It doesn't grow a brain strong enough to comprehend its own existence until then. It just has a basic function designed to keep the body which has been built to stay "alive" in a sense. This function is more about animation than it is about consciousness and serves as a preparation period for the brain to start fully functioning in, or for the child to be truly alive. Until then, it has no sense of its own existence. It's just repetitively doing what its DNA tells it to do. It is essentially a machine. You wouldn't think twice about destroying a machine. Why not a cellular one?

Your argument of allowing abortions until they are worthy of cognition is certainly a strong one. After all, you don't boil an egg and say that you're eating a chick even though you are devouring the unborn. You don't compare it abortion because it can't comprehend anything it.

But when it comes to a legal perspective, which is more or less what this question is about, being pro-life is stripping people of their rights. It is their wish to take responsibility for a child, or even give birth to one. And it isn't hampering anyone's life because of the aforementioned reasons. It still hasn't exactly found life yet. The child is their responsibility, and they can choose to deny it.