"Male Abortion" is not the right of a would-be father to force his pregnant partner to get an abortion. Instead, it refers to the idea that a man who accidentally impregnates a woman should be able to relinquish his legal rights as a parent if he so wishes. That means that if the woman decides to give birth to the child, knowing that the man does not want it, he can remove himself from the situation. He will therefore not be able to fight for custody of the child, but at the same time he will not be obligated to pay child support to the mother.
This would only be an option for a man who is not married to the woman he impregnates as a way to protect his procreational autonomy.