Let me try to rephrase this, so that maybe it makes sense. The point I'm trying to make is that social-darwinism is not an extension of capitalism, they're two different things but with aesthetic overlap.
Capitalism aims to optimize work, by naturally rejecting inefficient ways to do things. The production line wins over the workshop. It's about things and processes, not about people directly.
Social-darwinism is about rejecting people. To refuse people the space to thrive or reproduce. To push them to the edge of society until they die from exposure or suicide or simply that their bloodline ends when they can't support their families over the course of generations. Thus the noble classes dominate by right, and whoever is unsuccessful deserves to die and rot.