A supplier's explanation of tire damage can serve as a lead, but it cannot substitute for proof. The buyer should independently obtain or cross-check the policy, coverage scope, deductible, pre- and post-shipment images, and notification records, especially whether the documents were issued by authorized parties. If they cannot be verified, record the risk in the order approval and set exit conditions to avoid being unable to prove when the loss occurred or who is entitled to claim after an incident.
For an approach to a related issue, see What Happens If a Vehicle Is Damaged During Shipping?. See the relevant official material, the UNCITRAL Rotterdam Rules; it supports the general verification framework for this question, while specific admission requirements, taxes, and liability remain subject to destination-country authorities and the law governing the contract.