There are two ways to use network rendering. The basic way is to simply farm the rending process off to another computer. It doesn't speed up rendering. But it will free up your editing computer to do other work.
If you have three rendering jobs and you have two network render computers set up, it will definitely save time. Farm two of the renders out the render computers and do the third one locally. You get your renders back three times as fast.
The other way to use it is distributed rendering. Vegas will split one render job across multiple computers. Obviously the actual renders will happen faster. But Vegas then has to stitch the piece-part renders back together which adds some time back in.
But the bottom line is, mathematically 3 processors can do work faster than one. So it can be a great asset.