Does Line Honing change the crankshaft's centerline?

The way I understand line honing, you shave a bit off the top of the main caps and then hone until the crank holes are perfect. But won't that make the crank's centerline a bit closer to the camshaft's centerline? If so, wouldn't that make timing chains loose and pistons sticking up into the cylinders a bit. Only a few thousandths, but still...