Should one be practicing restraint or be practicing mindfulness?

Not that the two are mutually exclusive, but many Theravada teachers warn against practicing restraint in the commonly understood sense of the word. For example, if I understand correctly, Yuttadhammo Bhikku says to not stop and quit a behavior but to try our best to remain mindful. I understand to some extent that the reasoning has to do with non-self, and trying to stop a behaviour may involve deluding oneself with more of this self. However, in the texts it is frequently mentioned to practice restraint for bad habits (for eg. 9:11) . So I am a little confused here...both approaches make sense to me in their own right. Which one is the right way? or what are the conditions under which these are applicable? Hope this makes sense. Thanks