For the most part, at least. If the edge cases where they differ still feel weird, I can iterate on this further.
The diff is unfortunately a bit impenetrable, because I had to change both the fillGaps and cycleTileSize core algorithms used by the big grid layout. But: the main change of significance is the addition of a function vacateArea, which clears out an area within the grid in a specific way that mirrors the motion performed by fillGaps.