If the hunt is unsuccessful, they are not awarded any Bond. It doesn't matter if they impressed an NPC in that case, and for their downtime dice they would roll 2d and keep the lower result.
So for Fallout, they will earn 0, 2, or 3 Bond, and technically they will go into downtime with 1-3 dice based on what they rolled during fallout. I will clarify that in the text.
Feel free to post them in this thread.