Dave,
You have it right in that system resistance (headloss) is the reason the flow does not double.
As you probably know, a centrifugal pump operates on a curve based on the flow rate and delivered head. The curve goes from shut-off head (the head at zero flow) and the delivered head decreases as flow increases. The shape of this curve looks somewhat parabolic, but it is a function of pump design and construction (impeller, volute, etc.).
The system headloss is a function of the square of the system velocity plus any static head. Since you are talking about a chilled water system, this is a loop and there is no static head.
If you plot the pump and system curves on the same axes, the will cross at a specific head and flow. This is the system operating point.
Two identical pumps running in parallel will produce twice the flow of a single pump
for a given head. Thus, the pump curve for parallel pumps is constructed by doubling the flow-rate of the single pump for each head condition. The new operating point is where the system curve crosses the parallel pump curve, which will be at a higher head.
The attached diagram may help. If you can get the model number of the pump, you can probably contact the pump manufacturer to get the pump curves, which will also shed some light on the subject.
Hope that was the answer you were looking for,
Mike