This seems pretty in-character with his personality, actually. Chrom just doesn't seem like the kind to initiate a retreat on his own will. (In fact, Basilio and avatar have to DRAG him away from Gangrel in chapter 11, otherwise he probably would have fought to the death there.)
As for everything else, I wish you good luck. I have never had any faith in the AI of my own characters, rather it be in Monster Rancher, Fire Emblem or Advance Wars.