If homebirth was so dangerous, do you think we would hear about deaths on the news?
There was a recent article in the US about two young first time mothers in the same town, who attended each other's baby showers.

The first one had a c/s and died during the surgery. Her friend was freaking out, saying, OMG I hope that is not going to happen to me. A week later, she also ended up having a c/s, and died.

Both mothers and babies were totally healthy - no pre-existing problems.

Imagine if that happened to two homebirth mothers in the same town.