Yes it would still be true in a loop because the loop is a parallel path to the device. The center is the center, yes, but if running each side of the loop all over different directions to different outlets the average joe electrician wouldn't be able to find it. Even if there were 3 outlets on each side and a "center" connecting outlet, that wouldn't be the center of the circuit electrically speaking when taking into consideration the resistance of the wire.
This debate is kinda fun but really the code sections dealing with paralleling wire deal with protection of the circuit especially from overload. The reason to keep the paralleled conductors the same length and terminated in the same way is to keep the resistance of each conductor the same so that each will have an equal amount of load on it and not overload one side. This is because the usual reason for parallel runs is to use multiple smaller wire for bigger ampacity loads. In this case, even though the loop is technically a parallel run, each side of the loop is protected at it's ampacity unlike the aforementioned paralleling used for supplying larger rated loads than a single conductor could handle. As to whether or not this is allowed by the code I seem to think not but I'm not dead set on that