Refreshing your cards with no attached fiction seems really strange and hollow. This is a chance for your character to change, grow, and develop, and as such, should make an appearance in the story. I'd like to write the bits where my character realizes that they need to change tack, shift priorities, or confront their heretofore hidden character flaws.

I suppose this also applies to completing a Goal and completing a Subplot, although I haven't got there yet, myself.