Actually, the list was created by Congress, not President Obama. In addition, nothing is stopping Trump from adding additional nations to the list - so not only is it a lie to say that it is an Obama list, but it is a lie to suggest that Trump had no power to add or remove nations to his executive order.
He could have done so, but he did not - and the question is why. This is a man who rode into office on the promise of draining the swamp and fixing what he believes Obama's foreign policy ills were; so why is it, then, when push came to shove, that he didn't add any additional states to his executive orders? Why is he continuing the foreign policy of a man and a Congress that he insulted and promised to get rid of?