And here I was thinking that the whole Reductive vs Triumphalist thing was just a way Carrier could control the message and elevate himself (who else?) as the final authority of all things Jesus.
Carrier: I said in Chapter one of my book OHJ that you can't do the Reductive vs Triumphalist thing.
HJ Scholar (of some import): Your terms are meaningless to me.
WHAT HJ Scholar (as opposed to apologist) actually says this?
Carrier is getting his terms from Rudolf Bultmann who wikipedia describes as "a German Lutheran theologian and professor of New Testament at the University of Marburg. He was one of the major figures of early 20th century biblical studies and a prominent voice in liberal Christianity."
Biblical scholar I. Howard Marshall uses that amounts to the Reductive and Triumphalist terms when describing the two ends of the historical Jesus spectrum:
"In our introductory chapter we established two ways in which the phrase ' the historical Jesus could be used"
"The first was express the belief that the person called Jesus really exist, as opposed to the possibility that there was no such person. To speak of the historical jesus is to say 'Jesus is a historical character like Julius Agricola or Henry VIII' and to deny the statement 'Jesus is a fictitious character like King Lear or Dr Who'"
"The second way of using the phrase was to express the belief what the account given of Jesus in a particular book corresponds with what actually happened. To speak of the historical Jesus this time is to say: 'The description of Jesus in the Gospels corresponds to what he was actually like.'"
Here is his wikipedia entry:
"Ian Howard Marshall (born 12 January 1934)[1] is Professor Emeritus of New Testament Exegesis at the University of Aberdeen, Scotland. He was formerly the chair of the Tyndale Fellowship for Biblical and Theological Research; he was also president of the British New Testament Society and chair of the Fellowship of European Evangelical Theologians."
If neither Rudolf Bultmann or Ian Howard Marshall is not "HJ Scholar (of some import)" then who the sam hill is?!?

'
I have created that I call the Remsburg-Bultmann-Marshall-Carrier definition as it merges all of them together:
Reductive theory (Remsburg's Jesus of Nazareth): "Jesus was an ordinary but obscure individual who inspired a religious movement and copious legends about him" rather than being a totally fictitious creation like King Lear or Doctor Who
Triumphalist theory (Remsberg's Jesus of Bethlehem): "The Gospels are totally or almost totally true" rather than being works of imagination like those of King Arthur.
Any HJ Scholar who is "of some import" would know this. They may not use the exact terms 'Reductive' and 'Triumphalist' but as Bultmann and Marshall prove they certainly know the concepts.
And this "Reductive vs Triumphalist" thing is what Maximara does a lot when he says things like the HJ is improbable because Nazareth didn't exist, or that Pilate wouldn't have had a trial as described in the gospels when neither of those things is essential for a HJ.
Actually per Ian Howard Marshall it CAN be essential for a HJ if one is going for 'the description of Jesus in the Gospels corresponds to what he was
actually like.' (ie Triumphalist) side of the HJ spectrum.
Please note Eddy-Boyd in
Jesus Legend Baker Academic are doing exactly this route in the well used natural explanation of the supernatural events methodology vein. So the supernatural events are either written off as hallucinations or fabrications (ie the the zombie jamboree at the end of one of the Gospels) or given natural explanations (the three hours of darkness was an ash cloud--it's about the only time Thallus gets used and he's here on 173 and 198). But this means the natural events (the trials, behavior of Pontius Pilate, etc)
still have the problems outlined before.
As Ian Howard Marshall states "We shall land in considerable confusion if we embark on an inquiry about the historical Jesus if we do not pause to ask ourselves
exactly what we are talking about." (my emphasis) See the
"What counts as a historical Jesus?" thread for evidence of just how true that statement is.
As I have pointed out before various ideas classified as "Christ Myth" would actually fall under Marshall's 'the person called Jesus really exist' aka
Bultmann's Reductive position ie be HJ. These include Mead, Allegro, all of G. A. Wells (Paul's Jesus was legendary opposed to mythical), and to some degree even John Robertson's composite Jesus.