Well, first of all the unit Js (Joule times second) tells you that ##\hbar## cannot indicate an energy to begin with, because the unit of energy within the SI is J and not Js.
As I've said very many times in the last few days, the unit Js also gives a hint, what ##\hbar## might indicate. It's a fundamental constant of nature and thus provides a natural measure for some quantity with the unit Js, and that's the same as the unit length times momentum. In turn this indicates that it's the natural measure for phase space volumes, and this turns indeed out to be correct when you consider statistical physics of a many-body system.