Yep, I did state this was their primary motivation and goal in the post you quoted, if you bothered to read it you'd know that.
"preserving technology for the betterment of mankind so it can be one day used to help them."
^ an actual quote from me, it was nice of you to reiterate it though, as it's essentially the exact same quote. Preserving technology for the betterment of mankind so it can one day be used to help them (the future generations). It's pretty much exactly what I said, so nice reading you did there mate.
And there is a key phrase in that statement "future generations." By 2287, over 200 years since the factions founding, now
is the future, and it's time to grace the generations of it with a taste of said technology (not all, some) with a secure monarchistic state under the control of the Brotherhood.