Not always. If the insurer covers the damage, you pay the insurance deductible. If it doesn't, you pay a contractual penalty up to the operator's cap, plus any loss beyond it.
The insurer can refuse cover or claim its payment back, for example if the driver was not approved, had no valid licence, was under the influence, broke traffic rules, or left the scene when the law required waiting for the police.
The amounts are in your operator's rental terms and the full rules in the Terms of Service.