Glenn,
Here's a low tech answer that may help, from a low tech person.
I assume you are referring to a circuit in which you are running three phase motors from a single phase supply and using a rotary phase converter instead of a static converter. If this assumption is wrong, quit reading, I'm full of beans.
To understand why the statement is true, first you have to understand what the rotary phase converter (RPC) is doing, and what its limitations are.
A rotary phase converter is essentially a plain three phase motor that is using two windings (legs) to turn the motor and the third winding as a generator to create the missing third phase. There's more to it than that, and by making such a simplistic statement I am placing myself at risk of being pilloried by the more technically conversant among us, perhaps rightly so. But consider the RPC in that regard, at least for now.
One RPC shortcoming is that the motor was originally designed as a motor and optimized for that use. It wasn't intended to be used as a motor/generator. As a result the third, synthesized leg's output isn't as strong as that of the other two legs. The RPC's performance can be improved with the addition of capacitors to help balance the output, but that has nothing to do with your question.
Adding more "idle" (unloaded) motors to the circuit improves the quality of the third leg because each additional motor's third leg circuit also acts in a small way as a generator, and improves the quality of that phase. You might say that the extra motor, by running at idle, is consuming electricity from the circuit but its third leg is contributing more to the balance between the legs than the motor is consuming, for an overall net improvement.
How'd I do?
Steve