Specifically once it becomes accepted for morally justifiable things, like curing horrible genetic diseases, it will quickly start being used to alter non life threatening things.
And we will quickly find ourselves in a world where parents are able to alter the future children's height, intelligence, muscle mass, sex, race, sexual preference (These are purposefully extreme examples that are likely many decades away from being possible). But in terms of why there is moral outrage, those are the sorts of things people are concerned about.
I would say that from the reading I have done, the concern that it might be done improperly and accidentally cause negative mutations harming the child is more of a practical one (we don't understand the genetic processes well enough to perform the editing safely yet), rather than the moral one outlined above.
It is a recipe for a medical or social disaster. Perhaps both.
So is suggesting something you can acquire through work (owning a computer) is comparable to something you must be born to. They're not the same.
Death may be a consequence of disease (among other causes), but it is not a disease.
Seems like a stretch.
If the opposite is true - that if "lots of things" are immoral but permitted, things that are equally or less immoral should also be permitted - then you're arguing for more forms of child abuse to be legalized, in the name of "consistency".
So gene therapy? Let's consider the consequences. Everything else? Let's also consider the consequences.