There's no evidence that genetic diseases can be transmitted through blood donation.
Genetic diseases arise from problems with the genetic material (DNA) that you inherit from one or both parents. DNA abnormalities in genetic diseases are typically present in every cell in your body. Most of the cells in donated red blood cells and platelets contain no genetic material because they have no nucleus. The nucleus of a cell usually has most of the DNA. Those cells that do have a nucleus, such as white blood cells, are unable to spread their DNA to the cells of the recipient's blood.
Unlike genetic diseases, infections such as hepatitis and AIDS can be spread through blood donation. Fortunately, modern screening methods of donors and blood products minimize this risk.