Yeah, I've seen more than a few wrecks being tucked out of sight as soon as possible. But with cellphones being ubiquitous nowadays people are just programmed to dial 911 at the slightest provocation, so I suspect even minor accidents will be more likely to be reported.
Of course I was just unlucky, making my forced landing earlier this fall within sight of a major interstate. They demanded I remove the wreckage immediately just so they'd stop getting 911 calls.