Part of your attorney’s job is to deal with the insurance companies in reference to your injury or claim. The insurance employee on the phone may sound nice but their job is to look out for their company. Your attorney’s job is to look out for you and your interest.
Also, there is no obligation for your to give a statement to the insurance company. Giving a statement may used against you in the future, when defending your claim. But you may be able to deal with your insurance about property damage issues. Including towing, rental cars, storage, repair, total loss, and more.