I contacted my sister at Nationwide insurance (she's an agent) to get this info for you.
Her response was:
The companies are looking at loss history and/or credit history now when providing coverage. They have no way to gather information regarding this previous claim other than the amount that they have paid out for the claim.
So, if there were claims that were not acknowledged or paid, this should not be a problem.
Misdemeanor and felony convictions (if the charge is processed) do no have an impact on wether an insurance company will write your coverage or not.
Let me know if you still have questions.
If the insurance company persues the false claim, you could be but I doubt that will happen for such a small amount.
Not an active Expert