Where your analogy breaks down is that the company is a spin-out of a hospital lab. This is usually encouraged by academic institutions. For example, at my university, if I develop an algorithm that I want to commercialize then they might encourage me to found a startup. Then, they could take equity in the startup or give an exclusive license to the patent (where I am the inventor) to my startup. Many academic institutions encourage these activities to get research out of academic papers to create products with real world benefit.