Education in castles currently gives Squires and Knights +50% movement, in the Traits file "Movement 10" does not give +10% movement rate, it gives 5x that. Should be "Movement 2" if you want +10% movement rate. Currently, the +50% movement modifier for making squire is so huge that there's no point in ever even considering a capital or church eduction.
Also, for those of us who prefer Dread rather than Chivilrous generals, there's no incentive for continuing castle education beyond squire level, since the +move for both is the same and the +1 command isn't enough to compensate for having to live with +1 Chivalry on a trait w/ no antitrait. For my personal use, I've changed Squire level +movement to 1 (=5%) and knight to 3 (=+15%). If you want the extra moves, you have to live with the chivalry. You also need to get your newborn generals to a castle quicker, so they have a better chance of making Knight.