Is Josephus Saying that Judea was Part of Agrippa's Kingdom at the Time He Was Writing?

... and the borders of the kingdom of Agrippa; its northern parts are hounded by Tyre, and the country of the Tyrians. As for that Galilee which is called the Lower, it, extends in length from Tiberias to Zabulon, and of the maritime places Ptolemais is its neighbor; its breadth is from the village called Xaloth, which lies in the great plain, as far as Bersabe, from which beginning also is taken the breadth of the Upper Galilee, as far as the village Baca, which divides the land of the Tyrians from it; its length is also from Meloth to Thella, a village near to Jordan.

These two Galilees, of so great largeness, and encompassed with so many nations of foreigners, have been always able to make a strong resistance on all occasions of war; for the Galileans are inured to war from their infancy, and have been always very numerous; nor hath the country been ever destitute of men of courage, or wanted a numerous set of them; for their soil is universally rich and fruitful, and full of the plantations of trees of all sorts, insomuch that it invites the most slothful to take pains in its cultivation, by its fruitfulness; accordingly, it is all cultivated by its inhabitants, and no part of it lies idle. Moreover, the cities lie here very thick, and the very many villages there are here are every where so full of people, by the richness of their soil, that the very least of them contain above fifteen thousand inhabitants.

In short, if any one will suppose that Galilee is inferior to Perea in magnitude, he will be obliged to prefer it before it in its strength; for this is all capable of cultivation, and is every where fruitful; but for Perea, which is indeed much larger in extent, the greater part of it is desert and rough, and much less disposed for the production of the milder kinds of fruits; yet hath it a moist soil [in other parts], and produces all kinds of fruits, and its plains are planted with trees of all sorts, while yet the olive tree, the vine, and the palm tree are chiefly cultivated there. It is also sufficiently watered with torrents, which issue out of the mountains, and with springs that never fail to run, even when the torrents fail them, as they do in the dog-days. Now the length of Perea is from Macherus to Pella, and its breadth from Philadelphia to Jordan; its northern parts are bounded by Pella, as we have already said, as well as its Western with Jordan; the land of Moab is its southern border, and its eastern limits reach to Arabia, and Silbonitis, and besides to Philadelphene and Gerasa.

Now as to the country of Samaria, it lies between Judea and Galilee; it begins at a village that is in the great plain called Ginea, and ends at the Acrabbene toparchy, and is entirely of the same nature with Judea; for both countries are made up of hills and valleys, and are moist enough for agriculture, and are very fruitful. They have abundance of trees, and are full of autumnal fruit, both that which grows wild, and that which is the effect of cultivation. They are not naturally watered by many rivers, but derive their chief moisture from rain-water, of which they have no want; and for those rivers which they have, all their waters are exceeding sweet: by reason also of the excellent grass they have, their cattle yield more milk than do those in other places; and, what is the greatest sign of excellency and of abundance, they each of them are very full of people.

In the limits of Samaria and Judea lies the village Anuath, which is also named Borceos. This is the northern boundary of Judea. The southern parts of Judea, if they be measured lengthways, are bounded by a Village adjoining to the confines of Arabia; the Jews that dwell there call it Jordan. However, its breadth is extended from the river Jordan to Joppa. The city Jerusalem is situated in the very middle; on which account some have, with sagacity enough, called that city the Navel of the country. Nor indeed is Judea destitute of such delights as come from the sea, since its maritime places extend as far as Ptolemais: it was parted into eleven portions, of which the royal city Jerusalem was the supreme, and presided over all the neighboring country, as the head does over the body. As to the other cities that were inferior to it, they presided over their several toparchies; Gophna was the second of those cities, and next to that Acrabatta, after them Thamna, and Lydda, and Emmaus, and Pella, and Idumea, and Engaddi, and Herodium, and Jericho; and after them came Jamnia and Joppa, as presiding over the neighboring people; and besides these there was the region of Gamala, and Gaulonitis, and Batanea, and Trachonitis, which are ALSO [emphasis mine] parts of the kingdom of Agrippa. This [last] country begins at Mount Libanus, and the fountains of Jordan, and reaches breadthways to the lake of Tiberias; and in length is extended from a village called Arpha, as far as Julias. Its inhabitants are a mixture of Jews and Syrians. And thus have I, with all possible brevity, described the country of Judea, and those that lie round about it [Jewish War 3.4.1 - 5]

I know what the scholarly consensus based on whatever thought previous generations put into this problem. But I was struck by the peculiar phraseology. Are we meant to see the two references to Agrippa as brackets listing the territories under his rule (i.e. Galilee, Samaria and Judea + the northern countries)?

Book 7 makes explicit the claim that the northernmost part Agrippa's territory extended just below Tyre after the war.

The context is important here too because Josephus has just told us that Vespasian and Agrippa met in Antioch and have just entered Palestine to recapture Agrippa's kingdom:

And now Vespasian took along with him his army from Antioch, (which is the metropolis of Syria, and without dispute deserves the place of the third city in the habitable earth that was under the Roman empire, both in magnitude, and other marks of prosperity,) where he found king Agrippa, with all his forces, waiting for his coming, and marched to Ptolemais. At this city also the inhabitants of Sepphoris of Galilee met him, who were for peace with the Romans. These citizens had beforehand taken care of their own safety, and being sensible of the power of the Romans, they had been with Cestius Gallus before Vespasian came, and had given their faith to him, and received the security of his right hand, and had received a Roman garrison; and at this time withal they received Vespasian, the Roman general, very kindly, and readily promised that they would assist him against their own countrymen. Now the general delivered them, at their desire, as many horsemen and footmen as he thought sufficient to oppose the incursions of the Jews, if they should come against them. And indeed the danger of losing Sepphoris would be no small one, in this war that was now beginning, seeing it was the largest city of Galilee, and built in a place by nature very strong, and might be a security of the whole nation's (fidelity to the Romans).[ibid 3.3.4]

It would follow naturally follow from the idea of Vespasian and Agrippa attempting to secure Agrippa's kingdom, the whole question of 'what territory belonged - or now belongs at the time of Josephus' writing - to Agrippa might come up. So know we know ...