Wow it's been many years since I worked the 737 and I did specialise in flight control rigging. This is from memory......
Aileron control is always via the LH AA and AB cables. These cables rotate the aileron control quadrant in the LH wheel bay. This movement of the aileron control quadrant transmits through the spring strut and rotates the spoiler control quadrant in the RH wheel bay (may be called the RH aileron control quadrant). Movement of the spoiler control quadrant effectively backdrives the RH AA and AB cables to maintain a gap either side of the lost motion device underneath the RH control column. Turning the RH control column will (through cables ACBA and ACBB) drive the LH AA and AB cables which through the spring strut will backdrive the RH AA and AB cables maintaining that gap either side of the lost motion device. So yeah under normal operation both LH and RH AA and AB cable movement is identical but the RH cables are in effect driven by the LH AA and AB cables through the spring strut. That's my understanding.