Reasoning.
Averaging two rasters cell-by-cell (same row/column index) produces an output raster of identical dimensions where each output cell depends only on the corresponding input cell values at the same location. This is exactly a local (per-cell) raster operation (also called map algebra).
Neighborhood uses a moving window around each cell. Zonal aggregates over zones defined by another raster. Global uses all cells at once. None of these applies here.