> The issue is where do you draw the line with 2)? What does "improve the genetic characteristics of your children" mean in practice?

That should be entirely down to the parents.

Someone having a genetically engineered baby doesn't affect anyone else.

> That should be entirely down to the parents.

When making decisions that will affect (in planned and unpredictable ways) the phenotype of a person over their entire life course - society / medical experts and researchers etc necessarily need to have a say.

We can't beat or euthanise our children, neither should we have carte blanche over their genetic makeup.

Note - I'm not suggesting that we shouldn't employ gene modification to ameliorate health issues or even to improve other metrics. However this is absolutely not just 'down to the parents'.