Do class tiers change at Epic level?

JaronK’s Tier System for Classes is widely accepted. However, every explanation that I’ve seen for why each class is in its tier makes no mention of Epic levels. I have little doubt that this is due to the unpopularity of Epic level play, but has any research been done in to how the tiers change at Epic level? In particular, I expect the buffs given to magical classes (e.g. Epic Spellcasting and the many excellent Epic Feats for casters) to move a lot of casters up and move Psions and martials down. Indeed, it seems like there may be something interesting going on with half-casters.