So I've been wondering... There's nothing of any significance in them... In fact there's nothing at all. Were they part of some cut out material that never made it to the game ? But in such case they probably would have been implemented in Killap's Restoration. Or were they just to remind of such organization ? I've been researching Fallout Bible and forums but to no avail.
The BoS has no point in Fallout 2 they only have 1 quest, and it can be attempted, and completed at the beginning of the game. I feel like the BoS needed a big bunker like Lost Hills in the North.
Imho The Chosen One should know the name of the "Brotherhood of Steel" from his/her granpa's memoirs, just like he knows certain aspects of Fallout lore such as the fight against the Master. When the Vault Dweller met the Brotherhood, they were the one of the most powerful factions in the known wasteland, along with the Unity. The Chosen One could remember that and find a whole different thing when he meets Brothers in his travels (I remember the San Francisco guy said: "we are not the organization we used to be", or something similar).