So you mean an extension of our brick wall which thickens on the neighbours garden side ( under his soil) as it goes deeper into the soil.
Problem is this would not be reinforced as the neighbours reinforced hollow brick will be. Also a brick wall built this way would mean a) it’s our whole wall going into his border which I am not sure he would agree b) the brick wall can’t be reinforced ( and the horizontal pressure from the neighbours garden against our wall, especially when the soil is wet from heavy rain and water coming downhill generally as we live on a hill, is high. Our double brick wall has cracked from the middle to to horizontal pressure c) we might have problems accessing the neighbours garden in the future for repairs. d) the neighbours only want about 215 mm of the side of their garden dug to accommodate a hollow brick wall and drainage gravel behind it.