Pedigree Question

[zinn21]

Has there or is anyone aware of a study on the percentage of stakes winners from the three sire lines and all female families?

Are the number of stakes winners on average the same for the three sire lines to all the female families?

The reason I ask- i've been doing some research on one of my mare's families and noticed almost all the stakes horses came from the Waxy/Whalebone sire line (Darley Arabian) no matter what female branch. I thought maybe I was on to something but started looking at other female families at random and discovered thus far most seem to trace back to the Waxy/Whalebone line as well.

Any info on above subject matter is appreciated.