Warhammer-Empire.com

So they picked the gods of the Reikland and Middenheim as two of the five knightly orders AoI, throwing in the Knights of Morr because they are dumb.IMO they should have done Fiery Heart - White Wolves - Taal's Fury - Knights of Manan for each of the four main claimaints. Regardless, we can see that GW has some idea that knights ought to ride horses instead of some filth that troddle in the mud like a peon.
https://www.warhammer-community.com/en-gb/articles/ph4embz2/old-world-almanack-the-knightly-orders-of-the-empire/

Truly a SUPREME paintjob 

 I understand it as "You have to buy a GW but you can buy magic weapons". Which is still useful if your opponent removes this magic weapon.

 Well, I read "Models belonging to the Order of the White Wolf must be equipped with either great weapons or halberds"

I'm just thinking about something concerning the Grand Master of the White Wolf : don't you have to pay a Great weapon for him ?