Not only are you less likely to crash -- you're less likely to cause a crash ten cars behind you.
This diagram changed how I think about following distance: https://entropicthoughts.com/keep-a-safe-following-distance
This diagram changed how I think about following distance: https://entropicthoughts.com/keep-a-safe-following-distance
When the characteristics meet (when the lines overlap), you get a shock wave. Or, in the current context, a traffic collision.