(the article still had some of my text in re its distinguishing characteristics last I checked), had been given an earlier personal position vis. a vis (where my main contribution is at the start of the back matter, "Length and Semantics" thread in the index) more than a decade ago in the then current en wiki user home page. Here I'm updating for the intervening learning and the period going forward.
The essential distinction between the concept to be articulated and actually existing Capitalism, is that the latter is based on the exploitation of externalized and dead labour. Specifically, Capitalism controls production and thru it society, by making the power of the dead form of labor in money extracted the value of labor used in the production process that are the basis of the actual store of value in the money of the finance Capitalists. The hallmark of this distinction is that the Capitalist is virtually never the actual creator of the the wealth she appropriates, but is at most a manager or original conceiver of some line of production, at least insofar as industrial production is concerned, petty bourgeois professionals, actors, athletes, etc. being a primitive form of the living kind to the extent they remain sole producers and don't the dead form of wealth they've collected to enter the regular domain of conventional capitals in various ways.
Living Capitalism then would realize the earlier referred to synthesis of Randian Capitalism and various Socialisms.