To the OP there are two wildly different Genealogies for Jesus: Luke and Matthew
Matthew’s wants to show Jesus as the New Moses to a Jewish audience and his genealogy actually begins with Abraham, David is included to show that Jesus is fulfilling Jewish law and (carefully selected) scripture
Luke wants to show Jesus as a Prophet to the whole world, Jew and Gentile alike. His genealogy goes all the way back to Adam, and Davidic lineage [thru Nathan the Prophet not King Solomon] is included probably for the same reasons above and to give him a Prophetic and Godly pedigree to gentiles who might be worried about following a day laborer/carpenters son
So, to the OP, the writers of the Gospel at the time were not writing to claim a Davidic throne for Jesus (who was decades dead by the time this was written & wasn’t going to claim it anyhow). What they are actually doing is covering Jesus in legitimacy in the eyes of their readers for own purposes other than what Tambor would lead us to believe is a political motive
BTW Solomon supposedly had 1000’s of kids – and even if this was a 10X exaggeration – likely almost anyone in Israel could claim some Davidic blood. People today still do
And are planning a reunion
As wiki says
Thus men such as the editor of the Mishnah, Rabbi Judah haNasi and his heirs were considered to be from the Davidic line, hence also the title “Nasi” meaning prince. Many of the heads of the Jewish communities in Babylon, the Reish Galuta were also described as being of the Davidic line.
Let me say on the Pantheria thing – if we are going to believe Celsus on that we also need to note that Celsus says Jesus had [Super Friends voice] fabulous magic powers learned from the Egyptians[/Super friends voice]. In full:
Jesus had come from a village in Judea, and was the son of a poor Jewess who gained her living by the work of her own hands. His mother had been turned out of doors by her husband, who was a carpenter by trade, on being convicted of adultery [with a soldier named Panthéra (i.32)]. Being thus driven away by her husband, and wandering about in disgrace, she gave birth to Jesus, a bastard. Jesus, on account of his poverty, was hired out to go to Egypt. While there he acquired certain magical powers which Egyptians pride themselves on possessing. He returned home highly elated at possessing these powers, and on the strength of them gave himself out to be a god.
Origen, Contra Celsum 1.28 (Celus wrote this ~175 or about 175 years after the fact and is first quoted 70-80 years later)
Clearly (to me) Celus had read the/heard the Proto_Christian Gospel and had an answer and inclination to explain it all away