From the same NASA site:

Increased levels of human-produced gases such as CFCs (chlorofluorocarbons) have led to increased rates of ozone destruction, upsetting the natural balance of ozone and leading to reduced stratospheric ozone levels. These reduced ozone levels have increased the amount of harmful ultraviolet radiation reaching the Earth’s surface.

You said:

CFCs are responsible for only a minute amount of the damage caused to the ozone hole, which has been occurring since long before humans were able to affect it at all.

So who do I believe, you or NASA?