As I see it, two things are relevant here.
What is meant by myth? Does it simply mean, lack of positive evidence for historicity? Or does it refer to some specific pre-existing construct, containing features that were later worked up into the Jesus story, without that story having any reality whatsoever? These are two very different positions.
Actually as I pointed out before using Remsburg who in turn was using Strauss there is a third way regard myth. The two ways you are talking about are historical myth and philosophical myth. The third type is Poetical myth which Remsburg defines as follows:
"A Poetical myth is a blending of the historical and philosophical, embellished by the creations of the imagination. The poems of Homer and Hesiod, which were the religious text books of the ancient Greeks, and the poetical writings of the Bible, which helped to form and foster the Semitic faiths of Judaism, Christianity, and Mohammedanism, belong to this class."
To use more a more modern example Christopher Columbus sailed West to prove the Earth was round is a Poetical myth because it blends a historical event (Christopher Columbus sailing West) with a philosophical message (the noble explorer overcoming ignorance...usually represented as the Christian Church).
"It is often difficult, if not impossible, to distinguish a historical from a philosophical myth. Hence the non-agreement of Freethinkers in regard to the nature of the Christ myth. Is Christ a historical or a philosophical myth? Does an analysis of his alleged history disclose the deification of a man, or merely the personification of an idea?" (Resmburg)
Has the belief in historicity, or its rejection, been created or coloured by hostility to the behaviour of religious organisations and their adherents in recent times. Is denying historicity a mode of attack against these recent religious misdeeds? If so, can it be justified as a tactic or strategy? That would be an important issue, worthy of protracted discussion.
If you look at the majority of the works that defend the HJ position against the 'didn't exist as a human being' MJ one you tend to find that it is the Gospel Jesus rather then a plausible historical one they wind up defending.
These HJers aren't defending the minimal Jesus who preached a doctrine that resulted in him getting executed by the Roman but as much of the Gospel Jesus as possible (Eddy-Boyd's Jesus Legend case in point).
These HJers tend to present Thallus as "proof" that the 3 hour darkness actually happen and if you are lucky you may even have a naturalistic explanation like volcanic ash used...all the while ignoring no one else notes any such darkness.