This is very confusing given that there is no practical difference between birth rates when considering birth control and abortion.

What’s the difference between stopping a pregnancy from happening and ending one shortly after it happened?

Very few people (other than Catholic priests and fanatical Catholic laypeople) argue that condoms or birth control pills are morally wrong. I’ve never heard anyone arguing that reducing the birth rate is genocide. Indeed, human overpopulation is almost universally recognized as a global crisis.

Reduction of the birth rate is all but universally recognized as a great human good, especially in places where overpopulation has resulted in famine, disease, and actual genocide. Scholars almost all agree, for example, that the Rwanda genocide owed ultimately to overpopulation and resulting starvation.