Suppose you have a column like
high pri A high pri B mid pri C mid pri D low pri E low pri F
If you change the priority of task F to unbreak now it should jump to the top of the list and stay there on page refresh. If you change it to mid pri it should appear just below D and stay there on refresh, etc.
(Filing 'cuz this is likely to be a pain. I want to work on it tomorrow 3/5. Give a shout if this behavior sounds bad or bust or whatever.)