Barrack Obama, the President of the United States of America, has the responsibility of 50 state, comprising of over 3.79 million square miles (9.83 million km2) and with over 312 million people. In comparison, Lee Hsien Loong has the responsibility of just the 272 square miles (704 km2) of Singapore with around 5 million people. Thus, it can be very clearly seen how LHL definitely does not have more responsibilities than BO, because the scope of the responsibilities that BO has does not even compare to LHL's. That is not to say that LHL does not have any responsibilities and is getting paid so much for nothing, but in answer to the question, getting paid more certainly does not indicate more responsibilities.