PROBLEM: If you start with a small amount of yeast in a large (e.g., 5L) starter, it can take a while for the alcohol levels to rise in that starter. During that time, the wort has no protection from infection.
SOLUTION: If you start with a 1L starter (or smaller), the ABV of the starter will rise more quickly, thus protecting it from infection. Once fermented, the 1L starter can be chilled, decanted, then dumped into a 5L starter. With all the new, active yeast, the 5L starter will ferment quickly.
This was my thoughts anyway. I used to grow yeast from small frozen samples using 1L and 5L flasks. I doubt that stepping up with larger amounts of good yeast (i.e., Wyeast packs or White Labs tubes) warrant doing this.