IMO, this gets thrown around (A LOT) and is really old. Why would we have to write it all off?
Because the vast majority of our knowledge of ancient history comes from texts like the gospels (i.e. texts that we would not call history today). Most of what we suspect happened is not supported by archaeology (because only fragments have survived). There are only a few people in ancient history who have as much data in support of their existance as Jesus (four biographies/lives written about him, not to mention even earlier references in a number of other earlier texts like the epistles).
In the case of Jesus we have no physical evidence of his existence. He wrote nothing.
That is true for the vast majority of ancient historical figures.
We have no contemporary writings to show any interaction with this supposed highly vocal public figure.
However, we have writings by a contemporary (Paul) who discusses him.
That I can tell we have nothing in the Roman record that suggest that the authorities were looking for him, captured him and tried him for any crimes yet
There almost never is.
This is why I think you need to study more not only about the historical Jesus, but ancient history in general. You seem to be under the assumption that the our sources for Jesus are "scarce" when compared to sources for most other ancient historical figures. They aren't. There are a large number of figures who we can't know if they ever existed (i.e. Homer). There are even more who are referenced in this or that work either by a contemporary or decades (or centuries) later, but virtuall nothing is said about them. Many of the accounts (like those of Apollonius or Pythagoras) are from at least a century later.
This is why I asked you about whether you believe Socrates was historical. We have three central accounts, supposedly written by contemporary, but all of them are wildly different. If I treated these sources the way the mythicists treat the sources on Jesus, we would have to conclude that Jesus didn't exist.
In short, not only are there numerous relatively early references to Jesus, not to mention 4 complete "lives," all written in under a century of his life, but in contrast to other texts which survive from ancient time we have an extraordinary number of copies (some very, very early) for these texts.
There are very few figures in ancient history who have as much evidence for their existance as Jesus.
What I do believe is that no amount of scholarship at this point can prove with any degree of certainty he existed.
Again, we can be more certain of his existence than we can of all but a handful of figures from ancient history.
At best we guess he could have. You are right that we have so much written by other supposed historical figures but truly can't say if they existed or not. Krishna comes to mind.
If Krishna or Buddha comes to mind, then you don't understand my point. We have no references to Krishna or Buddha until centuries after they were supposed to have lived. All of the stories are far later legends.
On the other hand, Paul was converted a few years after Jesus' crucifixion, and Q is probably only 20 years after.
The kind of historical figures I am comparing to Jesus (when I say that if you deny his existence you have to also deny theirs) are people like Socrates (I would give more names, but I am not sure how many figures beyond guys like Caesar or Plato you know).
Such an extensive history (Hinduism) and so much written and the believers believe Krishna is a real person.
But these stories are very different. They were not nailed down to a specific time, nor were the accounts close to the time of his alleged life.
I can't say, at this point, whether he was or wasn't but their writings make him out to be a real historical person. I haven't seen a scholar, at least not yet, claiming he was a real person
And yet every single expert in historical Jesus scholarship says Jesus was historical. Does it occur to you they might know what they are talking about?
Again, my process in determining how historical Jesus is, is by trying to figure out who, if anybody, interacted with him and wrote anything about him. Maybe somebody did and the work was destroyed...but that is peer speculation on my part.
But your process is flawed. You lack the methodology to determine historical vs. non-historical. Your basis for historicity is that it a historical account has to be written either by someone who knew him personally or Jesus himself. That would cut out most of ancient history. Ancient historians went around getting accounts from other people and recording them. The way to judge historicity in these accounts is to compare them with other accounts that survive (if they exist) and to determine whether it is likely such information would be transmitted accurately.
You haven't studied oral cultures, or oral tradition, so you are thinking too much like someone living in the 20th century. Your "process" seems to be "if it wasn't written down by a contemporary or the person themselves, it wasn't historical." But in oral cultures almost EVERYTHING wasn't written down. We are LUCKY that Paul's letters and the gospels survived, because they are a treasure trove of information not available when it comes to most historical figures.