Simplified genetics 101: Plants grown from seed will be variable in their characteristics from each other. Each seed will inherit characteristics from each parent but dominant traits will usually be exhibited. Recessive traits will be stored in the DNA to pop up some day somewhere. So if you cross a plant with variegated leaves with a plant with green leaves, the seed will carry the genes for green leaves and also for variegated leaves. If green leaves are the dominate trait, most of the seedlings will have green leaves but the trait for variegated leaves will still be there. Only one set of traits will be exhibited in each plant.
Hybridizers cross plants to get certain characteristics. They may have to grow thousands of seedlings before one has all the characteristics they are looking for. Then, to keep the look of the chosen plant, they grow all the offspring from cuttings (clones). Most of the offspring will look like the parent. But if you grow seeds from that plant, all those traits from all those ancestors get thrown back into the gene pool.
There is a very cool flowering Quince (Chaenomeles speciosa 'Toyo-Nishiki') that does produce pink flowers and white flowers on the same branch. And then, every once in awhile, a red branch. Its an oddity - most plants don't do that.
Daisy