I attend many entrepreneurship events and belong to several entrepreneurship groups. There I see entrepreneurs hungry for success, entrepreneurs who recognize that the bottom line is the most important measure of their success - an organization that makes healthy profits can grow, can scale, and can impact more customers.
I would describe very few of these entrepreneurs as greedy - they are simply driven to make their companies succeed. They're driven by passion for an idea and recognize that the best way to see that idea spread is to build a highly profitable enterprise.
Applied to the social enterprise sector, that same profit drive, would, in my humble opinion, be transformative. It's why I urge social entrepreneurs to address their business model first, then build out their 'social' model.