After discussion with Richard and Lee, we think the Remaining Work column would be more useful if you could identify the total count of P1 points vs. P2 points and so on. This would help us track how many points worth of bugs we're delivering vs. are in flight, so we can better estimate prioritization. Ideally, we want the number of points finished per iteration to be roughly the same as the number of P1 points in flight on average during the iteration.
We may not want to put these extra details in the bottom of the IterationView. Instead, we could put this analysis in a separate "Capacity" view. In the long term we can add useful info to this view. For example, Richard suggested a graph mapping finished points per iteration could be useful. That's a separate thing but you can see how it'd be useful to have snapshots of how much work we finished for each iteration vs. how much we committed to.