That is a bad assumption. Most of the icky ones will manifest as genetic illness and cancer past one year of age. That is all well and good if you plan to cull hens after one year and broilers at 15 weeks, but if you plan to have the birds around for a while and use them to breed, it is important to eliminate those alleles as well.
There are a lot of really nasty alleles that are not lethal but will cause all sorts of horrible things.
That is why it is important to keep some birds from each hatching around for a few years to see if their parents carry anything worth culling them for. It takes a long time breeding this way and you do end up culling some birds and their offspring when their grandkids show some bad mutations, but in the end you have some really healthy birds.