Historical Jesuses

In light of the claim that historians are not aiming to arrive at "exact historical fact" (Droysen), but instead are aiming to "re-construct" past events and persons based on the available sources, what is the goal of "historical Jesus" research:

The outcome of critical investigation of the sources will never be the ‘real’ person—whatever that may be—behind the sources, but always a portrait based on careful and comprehensive analysis of the available material by the historian. It is unavoidable, therefore, that such portraits are always combinations of present and past; that is, representations of the past in the form of historical narratives. The distinction between the ‘real’ and ‘historical’ Jesus, reinforced, for example, by John P. Meier in the first volume of his voluminous work on the historical Jesus, should remind us that the ‘historical Jesus’ is by no means to be equated with the ancient Jew, Jesus of Nazareth, who lived in first-century Galilee. Rather, the historical Jesuses portrayed in the Jesus books since the rise of historical criticism are the results of rendering the ancient material about Jesus to critical investigation, and thereby are attempts to replace the representations of Jesus in the Gospels by those of the modern historian.
— Jens Schröter, “The Criteria of Authenticity in Jesus Research and Historiographical Method” in Jesus, Criteria, and the Demise of Authenticity edited by Chris Keith and Anthony Le Donne (London and New York: T&T Clark, 2013), 49-70 (here, 62).