Looks like panic may have led the trooper and his wife astray in this incident (below). I'd love to guarantee that I would never succumb to such pressure in a similar situation, but I'd be lying if I did.
Based on the details we know right now - and they are subject to change as more is released - this looks more like a ham-fisted attempt to improperly deal with a real accident rather than a diabolical cover up of something nasty. It's a bad situation either way and consequences of some sort are clearly appropriate - panic is not a good defense in the court of law or probably in the court of public opinion. But I wouldn't condemn the couple based on what we currently know.
Horry County trooper's wife charged with filing false report