Public businesses are held to higher standards on choosing who to do business with than individuals, so why shouldn't monopolies be held to even higher standard

Public businesses are held to higher standards on choosing who to do business with than individuals, so why shouldn't monopolies be held to even higher standards? No secret takedowns, only allowed method is to follow the dmca law process, not take down whatever they want whenever they want. If they don't want to do that, then they can choose to not be a monopoly by raising prices significantly and leave room for competitors.