I’m trying to argue that the corporate headquarters of a corporation comprised of many different businesses is playing a shell game if it pretends it isn’t trying to make a profit. Non-profit means something in the minds of normal people, and it means those who are exempt from taxes because its purpose is some kind of social benefit, and because it is not merely a cover for a money-making operation.
The difference between the for profit and not for profit designations is in paperwork they fill out, and in whether some funds are subject to double taxation if they follow certain paths. They aren’t illegitimately evading taxation by the designation.