Yeah I’m pretty sure it will. Humans are also incompetent, egotistical, self-righteous drivers. Statistics say humans are in reality poor drivers and I’m confident the self-driving car will be safer overall
But there will always be those edge cases where a human could perhaps do better. They have different weaknesses. So it won’t be a clear cut decision when self-driving would be widely allowed
This was also my opinion from doing a trial of full self driving. It did an amazing job, and most of my corrections were wrong. It is already safer than a human in “normal driving” and has been for a while. But every drive had edge cases where it just wasn’t ready.