Parson wants to win the war, by winning the battle, not just finishing Ansom. When survival was at stake, he would go for it, but now he'll want to crush this army. He can truly defeat Ansom.
I see it the other way around.
Parson "See how he's afraid and he thinks these dwagons are going after him?"
Stanley "Yeah let's do it."
Parson "You're smarter than that."
Stanley "Am I?"
Parson "Yes, that is what he expects, but you'll do something else."
EDIT: the thing is, Parson gets Ansom but loses most of his dwagons and lets siege within the column. The alliance could keep going to the city then.