Showa breeders do not throw away the white fry any more. Most kindai showa are from white fry. There will also be kohaku, sanke and the usual assortment of junk in the same spawn.
To increase the percentage of acceptable offspring, pair oyagoi which are as closely related as possible. Ideally, they would be siblings or parent x offspring. Out-crossing strengthens the line, but also increases variability and reduces the number of acceptable offspring. When space is the limiting factor, you need to do everything you can to increase the odds that there will be some good koi in the limited number of fry which can be reared.
-steveh op