A vehicle being hit while parked, is never at fault.
But when it is a hit/run, and (if) you can't id the person who did it, then your insurance pays under collision, which (might) impact your rates, even if you can prove it was a hit/run.
Even if you have uninsured property damages, which would (normally) cover since, the person who fled the scene, but since you can't ID the person, then they (can't) verify if in fact the person who fled the scene (had) insurance or not.
Granted, your rates should not go up, but your record will show a collision claim.
But you could argue with the insurance department if they raise your rates.