Perhaps you can claim against your own car insurance or get advice from them. I am sure they would be happy to push your claim off to some other insurer but they might also be able to state more confidently whether the strata insurance should cover it, as they are in the same business.
I think our strata insurance paid for damage to a parked car from a falling branch on common property. At the time I was surprised at the claim and payout because the damage was so minor. If it had been my car I would not have bothered or perhaps even noticed the tiny dint.