(A) (1) An abandoned or illegally parked vehicle may be removed by the owner or operator of the vehicle at any time prior to the vehicle becoming physically attached to a wrecker or tow truck.
(2) After a vehicle has been physically attached to a wrecker, but before the wrecker has left the scene, the owner or operator of the vehicle may take possession of the vehicle only on payment to the wrecker driver of a fee of thirty-five dollars ($35.00) in return for which the wrecker driver shall issued a release to the owner or operator. Such release shall be in the form of a receipt furnished by the Police Department and signed by the driver of the wrecker acknowledging payment of thirty-five dollars ($35.00). Each driver of a city wrecker and driver or owner of each contract wrecker shall make a daily report to the Police Department of each such release issued during the preceding twenty-four (24)-hour period and shall remit with the report all fees collected during the period.
(B) Neither the removal of a vehicle by an owner or operator as referred to in division (A)(1) nor the issuance of the release referred to in division (A)(2) shall be construed as relieving the owner or operator of any such vehicle from responsibility for any violation of the traffic code with which he may be charged.