Did that today in my monthly 2-player BW game (that is sadly wrapping up next month). It was really nice to be able to hand out some Artha (including a motherfucking Deeds point!!), get a few Beliefs rewritten, etc., and then still do a few more scenes. We didn't do the full Artha handout process a second time later--we did individual Beliefs but not group awards--but still, it worked nicely, and it's something I've done a few other times, and not just with Burning Games:
Vincent Baker did it at Burning Con with Apocalypse World in a game I was in, having I think two different times when we stopped and did Hx. Imitating him, I did it once in my Dungeon World game at Dreamation two weeks back at the midpoint, with great results.
I think the reason I like it is because, in many story games, the end of session stuff isn't just handing out XP, but rather a chance to reflect on what has happened so far, what you've learned, and so on.
Have others done anything similar? How did it work or not?