Typically, when an insurance company handles a car accident claim they are not obligated to provide estimates of damages to the at-fault driver or their insurance company. Insurance companies are primarily responsible to their own policyholders and focus on settling their claims. Estimates for damages are typically obtained by the policyholder or repair shops hired by the policyholder. These estimates are usually necessary for repairs or reimbursement related to the accident.
It is important to note that insurance policies and procedures can vary among companies and jurisdictions. While it's unlikely for insurance companies to generate estimates for the at-fault driver, they may still be involved in the assessment and determination of damages to reach an appropriate settlement or arrange for repairs.