Josephus was a general for the Zealot cause, but was captured. At some level he must have sold out to the Romans, whether for the sake of saving his skin, or whatever it was, he became a historian and translator.
In my reading of things he switched sides in order to try to negotiate peace and save the Jews from what he saw as a certain defeat in Jerusalem. By that time Jerusalem was surrounded Josephus could clearly see that the Jews would lose. The tide was against them. The Romans were determined.
In his soul he was a Jew, a Zealot, and he believed in his religion (not Christ). But he was also painting a picture so to speak, for the Romans victory parade, and of course, for the future emperor's legacy.
We must just be careful that we don't get carried away with Josephus' accounts of prophetic signs and wonders, because Jews of his day would be quite like that, to seek signs and wonders - and his writings are not scripture. (an evil and adulterous generation seeks a sign).
He was certainly an intelligent man, it is possible that these signs were ebellishments of the record to persuade other zeaots to quit the resistance. He would have known that this type of sign was what would shake their faith. His goal is possibly only to save the temple from being destroyed, his one last ditch effort to be a good Jew.
I agree about Matthew 24 being very first century and Judean, however, you have just got to look at the whole chapter is its respective parts. I see prophecies told all through the Old testament as a basic outline combined with a second part with colorful detail.
Matt 24:3-14 are the outline of the whole Great Tribulation
Verses 15-28 are a side note to Judeans to not be fooled by the coming revolt, by Menahem, John of Gishala, and Simon, and the Zealots. This then is the part which explains the trigger point and the beginning of the things from the first outline.
The rest of the passage is about the Glorious appearing.
It's hard to chop up, but you have to chop it up like that because the disciples asked two questions. 1) the end of the age, and 2) the time of Second Coming.
Since there are two ages that must end, 1) the age of the Jews (70 AD) and 2) the age of the Gentiles (ongoing), Jesus described the full end of the age in a brief outline, then provided the relevant application (pointing to Daniel) for their perspective and the end of their present age, and then lastly explains the Second coming.
So it is
1) The signs of the ends of age 1 & 2. (outline)
2) the sign of the end of the first age in detail (the AoD)
3) the sign of the Second Coming (the Day of the Lord)
Well, that is the only way I can make it make sense