Will this prevent crime? Maybe

No. Unless your camera is being held by a human being who can take action.

Cameras do not prevent crime. That's just marketing.

All they do is let people watch crimes after they've happened, and share the videos to spread fear to other people, which then sells more cameras.

If doorbell cameras prevented crime, the internet would be full of videos of people trying to steal packages, then changing their minds when they see the camera.

Instead, it's all just recordings of a crime that has already been committed.