However, the original claim is made by Christianity: that Nazareth existed in Jesus's time. We find, however, that there are problems associated with this statement, as has been pointed out, problems which are not solely archaeological in nature. The claim is generally accepted, not because it has merit, but because it is being made under the color of Biblical authority. That, too, was the problem with the flat earth idea: it was maintained as dogma by the Church. Who is to question either claim, since the Church and the Bible are its authority?
But when we look for the physical evidence of a town where the Bible says it should be buried, we find none.
So no. The burden of proof still lies with Christianity, since it is the authority which made the claim in the first place. All anyone else is doing is to go see if the claim has any validity. It does not. To say: "The claim that Nazareth existed in Jesus's time is unfounded" is not a claim in itself; it is the answer to the original claim, and that answer is based on proof: there is no archaeological evidence that such a town existed.
So the question has been answered.
Unless you have other 'proof' you want brought forward. If so, be specific. What, exactly, do you require to prove to you that the Biblical claim of a 1st century Nazareth is unfounded?
All you have is the written word, which came a half-century after the fact.
So far, the real evidence is:
a> no archaeological evidence
b> Nazareth is not mentioned even once in the entire Old Testament. The Book of Joshua (19.10,16) in what it claims is the process of settlement by the tribe of Zebulon in the area records twelve towns and six villages and yet omits any 'Nazareth' from its list.
c> The Talmud, although it names 63 Galilean towns, knows nothing of Nazareth, nor does early rabbinic literature.
d> St Paul knows nothing of 'Nazareth'. Rabbi Solly's epistles (real and fake) mention Jesus 221 times, Nazareth not at all.
e> No ancient historian or geographer mentions Nazareth. It shows up on no map of the time. It is first noted at the beginning of the 4th century.
f> In his histories, Josephus has a lot to say about Galilee (an area of barely 900 square miles). During the first Jewish war, in the 60s AD, Josephus led a military campaign back and forth across the tiny province. Josephus mentions 45 cities and villages of Galilee yet Nazareth not at all. Josephus does, however, have something to say about Japha (Yafa, Japhia), a village just one mile to the southwest of Nazareth where he himself lived for a time.
g> The Itinerary of the Anonymous Pilgrim of Bordeaux, the earliest description of Galilean towns left by a pious tourist (333AD), mentions no town of Nazareth.
h> In the 3rd century Church Father Origen knew the gospel story of the city of Nazareth yet had no clear idea where it was even though he lived at Caesarea, barely thirty miles from the present town.
i> No 'synagogue' where Jesus was reported to have preached.
j> No cliff from where Jesus was to be thrown by the townspeople
k> Everyone knew Jesus was God in the flesh; and yet, he seems to have led a quiet, unassuming life in Nazareth until suddenly, at age 30, he bursts upon the world. There is but a footnote to his residency in Nazareth from the age of 12 to the age of 30. Something is wrong with this story.