Myth, Urban Legend, Wives Tales, and just plain old misinformation... After cleaning the block, and even measuring it if you want, you need to bore the hole 0.005" shy of the finished size in order to know what piston size to get. I start out centering the boring bar just under the unworn lip at the top of the cylinder instead of the unworn portion at the bottom. Why you say, because centering at the bottom will ensure you have to cut one or two sizes larger to get a good cylinder. Cylinders will wear more to one side usually due to the thrust angle of the piston/rod combo in the cylinder and rotation of the crank. Any cylinder alignment parallel to the crank is not important for a street driven car. If you are not using a bore alignment plate when the cylinders are bored, they are not correct anyway. To minimize the amount of material removed from the cylinder, I bore the worst hole 0.015" (for a final bore of 0.020"), and if it cleans up, I order pistons 0.020" oversize. If I need to go 0.025" to clean up the cylinders, then I get 0.030" oversize pistons. I once had a 225 Chrysler that was std bore, and measured to clean up at 0.020", but the block and cylinders were so out of whack, I had to go to 0.040" to clean them up. Just because they measure a certain amount does not mean they are aligned well enough with the deck to clean up at your measured oversize. ALWAYS bore first to 0.005" smaller than the final size, and you won't have to return those pistons to get the next larger size...
On another note, if your machine shop "Plateau Hones" cylinders, I suggest you have that done also. After a cylinder is honed, there are peaks and valleys where the metal has been ripped from the surface. The plateau hone removes the valleys which hold the oil for the rings. It basically prepares the cylinders for a faster break-in of the rings, and keeps your break-in oil just that much cleaner. I do this as a last step to the bore & hone process, and don't charge for it. All it needs is a few strokes of the plateau brush ( I do 10 strokes), and you can even purchase your own hone brush to use in your drill.