If reincarnation could be proven, do you think there would be more or less deaths and would climate change be taken more seriously?

I’m watching a show where a killer believes that innocent dead people will be reborn into a better next life. He doesn’t kill the innocent, he actually kills people who murdered or abandoned someone like himself. He was abandoned and abused. His father however was a serial killer and would kill innocent women.

Anyhow, it made me wonder. If reincarnation could be proven, would there be more murders and suicides?