Especially since some of those accidents are going to be death by suicide that went undetected.

The US uses this definition for suicide. http://www.cdc.gov/ViolencePrevention/suicide/definitions.ht...

> Suicide

> Death caused by self-directed injurious behavior with an intent to die as a result of the behavior.

That "intent to die" part makes it hard to decide whether something was suicide or accidental death, and we know it causes some incorrect classification.