This whole Maxson thing doesn't make any sense. What is significant with him becoming 18 and becoming a major player on the battlefield? How? He would barely be an initiate with very little to his name outside of being a Maxson. He's "heir" to a lineage that harbored a belief in a dying institution back West. Him becoming 18 won't suddenly result in anything major happening.
The Brotherhood already had a major schism that is decidedly water under the bridge at this point, so Arthur suddenly rallying another legion of Brotherhood members to break off and follow him on an exodus to Boston is not going to happen. Additionally, he's under the tutelage of an Elder who feels differently about the Brotherhood's purpose and duty in the world. He's also heavily influenced by notable members like Sarah Lyons, whom he idolizes.
Here are some spark notes of why it's not the CWBoS in Boston (I won't mention the date being one of them because I'm tired of bringing it up):
->The only BoS group that used a fleet of airships was the MWBoS before they splintered off, and most of those crashed with one of the wrecks being located in or around Chicago (correct me if I'm wrong). They are the only ones in any position of rebuilding an airship and actually making an exodus further East.
->Elder Lyons' group walked all the way from Lost Hills over to the East, so airship tech is unavailable to them. Building one from scratch? Nope, they were pretty focused on rebuilding the walking, Anti-Communist Death Machine after it got canned.
->They wouldn't use an airship to begin with, especially after raiding the Adams AFB vertibird depot (and also the fact that they're like ~8 hours due south of Boston. Considering that they walked all the way across the North American continent, I highly doubt they'll be like "lets build us an airship to save us time in our travel to Boston up north."
->The Outcasts are still causing problems for the CWBoS in the CW.
Lastly, what elements from the West would hold any value over in the East?
Edit: I striked out the "water under the bridge" bit because as it turns out, in 2281, the Brotherhood of Steel's war with the Outcast Rebels is still apparently a major issue, even 4 years after Fo3.
"However, news of the civil war between the Brotherhood of Steel and Outcasts has reached other Brotherhood chapters, such as the Mojave Chapter"