Tile – In a brick layout for tile, how to handle exposed cut edges

My second in the line of "redoing a bathroom" questions. For our tub surround, my wife and I have picked out some very nice 16"x4" subway tiles, that we would like to arrange in a brick pattern. To surround the tile, and finish exposed edges, we have ordered some 16×4 bullnose. For example:

http://monty.princeton.edu/~mark/tile_layout.gif

However, in order to have a brick pattern, every other row will require a 16×4 tile to be cut in half, leaving an unfinished edge on the tile. I have noticed that the tile we picked out has a very slight roundness to the edges of the tile. Cutting the tile in half will cause a sharp corner where the cut tile butts up against the bullnose:

http://monty.princeton.edu/~mark/tile_layout_edge.gif

The top is a full 16×4 viewed from the edge (notice the rounded top edge where it butts against the bullnose) whereas the bottom is the cut tile (notice the sharp corner where it butts against the bullnose). Now, in this image I have exaggerated the bevel on the top face of the tile, it is quite a bit more subtle than this.

How is this typically handled? Is there a way to soften the sharp corner? Or is it typically not noticed?