Great report.
I've seen the opposite also. I've had a CarFax report show accident history when the AutoCheck report did not. Regardless of what either of those companies report I encourage anyone to get the car checked out. You may find a car with clean reports that has had major body or structure damage with shoddy repairs. You may also find a car with damage reports but the damage was superficial and the repairs flawless. No reason to steer clear of a car like that.
As a good example. My wife's car when we sell it will show a rear end collision on the carfax report. The reality is the rear bumper was only scratched with no other damage to the car. It was repaired and the car is in the same condition as it was when bought new. Because of that report the car may have a stigma attached to it even though it is as good as the equivalent car that had no repair. The severity was no more than a shopping cart scuff however the police report getting into the system is unavoidable.
It is unfortunate but this "certification" system is flawed. I've bought several used cars with "bad history" per the inspection reports. But I don't rely on those reports. I rely on the actual vehicle condition, the quality of the repair, etc... Never had an issue.
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