Final answer:
The statement is false because organizations that embody social responsibility typically engage more actively in societal issues and thus achieve higher levels of social responsiveness than those following only a social obligation approach.
Step-by-step explanation:
The statement "Organizations not pursuing a social obligation approach to their business goals usually achieve higher levels of social responsiveness than organizations that take the social responsibility approach" is False. The social obligation approach is generally considered to mean that an organization will do what is required legally, but not more; whereas, the social responsibility approach indicates that an organization seeks to go beyond legal requirements and actively pursue activities that further social good. Organizations that practice social responsibility are typically more proactive in addressing social concerns and therefore tend to achieve higher levels of social responsiveness than those who adhere strictly to a social obligation approach.
In the context of civil liberties and social responsibility, it is evident that organizations that embody social responsibility tend to consider the rights and welfare of individuals as well as the community, striving to find a balance that serves both entities. The broader implications of social responsibility may translate into better corporate citizenship and thus, increased social responsiveness.