Even when running a business I don't think you necessarily have to answer to customers, and you are certainly not forced to answer to shareholders or board members if the company is not structured in such a way to necessitate that.
The only one or thing you absolutely have to answer to is the market, people can complain all they want about whatever they want, but so long as there are people who will open their wallet you really don't need to pay attention. This is completely different from typical boss-employee relationships, you're solving a problem in an autonomous fashion not following orders.