Fallout is a great way to gain experience, especially in speaking conflicts, where the risk of injury or death is zero, and the d4s you roll afterwards are much more likely to come up with a "1".
One of the keys to maximizing the chances of getting experience in a fallout roll is to take the blow with lots of low point dice, and having a bunch of D4 traits are a great way to achieve that particular goal.
For example: Brother Seamus is arguing with Bethany about her refusal to get married.
Brother Seamus has a 9, 5, 7, 3, and 8
Bethany has a 6, 8, 2, 3, 5.
Bethany raises with 6+5 = 11, saying "I'm a grown woman, I make my own choices, and I don't need a man in my life."
Brother Seamus pulls in a trait "I stutter around the womenfolk - 2d4" and rolls a 1 and a 2.
So Brother Seamus takes the blow with 3+1+2+5 = 11 and says "I uh... s..s..u..pp.ose.. y..you... dd..dd..on't."
Bam. 4 dice in the speaking fallout for later, which is 4d4. The chances of getting a 1 on those dice is pretty good! Plus, it makes for a great conflict.