By "going full AABB" I mean using only AABBs for all of your objects (both dynamic and static), with dynamic objects colliding both with each other and static objects. In what specific ways does this simplify physics calculations? Are there any special techniques that require a world made entirely of AABBs? Some way to, say, remove the need for TOI-ordering (or similar) by taking advantage of that fact that all objects are AABBs?
In particular I'm looking for specific large-scale benefits, not just small things like collision detection being slightly faster. There seem to be quite a few games that use only AABBs, like Minecraft for example, so there must be a significant benefit to it or they wouldn't be doing it. Only thing I can think of is getting to do position/velocity corrections per-axis, though I'm not sure how one would exploit that to its full potential.