The point is that individual organisms are not intrinsically selfish, as cynicism would hold. We observe altruism as well--how does cynicism explain this? And Dawkins obviously acknowledges this, and wrote a whole book explaining that genes, not individuals, are the intrinsically selfish operators in nature.
Several times he explains the personification of genes is for illustrative purposes only. So he is only attributing selfishness to genes to clarify the roll of evolution in the deterministic progression of the traits carried forward by DNA. Human altruism is in fact attributed for the good of the gene and is why he attributes the selfishness to the gene. This is a personification so in reality the selfishness is ours, the cynicism is ours. Dawkins says' in his first version "let us teach altruism" because even he had issues separating the vehicle from the operator. This is all fine and well for illustrative purposes.
Look at the cost benefit model he uses to account for altruistic behavior. While he acknowledges that individual organisms do not necessarily calculate this for their actions the accounting predicts what we see in nature. If it is to the benefit of the individual then that is the course followed weather it is feeding young or letting a runt die. We follow self interested nature that cost benefit analysis confirms.
Unlike a computer whose base programming can't change animals can alter their behavior on the fly based upon perceived benefits. The genes base commands predetermine an animals instinct but intelligence can over ride that. So being selfish by the nature of the base instructions from our genes doesn't mean we cannot find value in altruistic behavior and change. I might argue that intelligence has evolved because it allows for vessels to overcome genetic predisposition for selfishness finding better ways to ensure their genes are passed on.
In the end I found it a boring book with few insights not widely discussed and accepted already in many naturalist and genetic fields. It is a product of its time, where Jane Goodall was still wowing the world with insight into primate behavior, breaking down human preconceptions of our primate cousins being less like us than we would otherwise admit.
Here is the link to the audio book-->