I am agreeable to your assertion at the bottom, but I think that mixing genetic engineering with abortion is a bit disingenious.
Genetic engineering is clearly a choice about a child, and the child's future.
If the child is a shared responsibility, then clearly this decision has to be made by both parties to the action. Preferably the child as well, but that doesn't seem to be an option here. Abortion is a choice to truncate the child's future at nothing. Someone who is arguing for abortion would say that this is a decision about the woman's body. If there's a child, it's shared, and all that support stuff makes sense.