They’re not being historically accurate.
They’re being accurate to one take of a mythology which happens to have caste the Jewish people in a bad light for millennia.
There is no record of this story happening past word of mouth.
I could make up an equally plausible story right now for why the competing religious faith would caste the other predominant faith in a bad light but not want to raise the Ire of the governing authority, “Roman’s didn’t do it, it was the other religion?‽!!”