anything +-.005 or higher I wouldnt have a problem with.
remember your machine made the part so if its off then its going to be off even though it checks good.
flatness roundness parrellism I wouldnt even think about checking on a mach that I ran the same part one.
for example, lets say you ran a circle of 4" and you need to be square and round, obviously your machine will check it perfect for squareness and roundness cause it made the part to your program that was square and it was a perfect circle in your program.
even if you have a place that has a .005 flat spot in it its going to check good cause the flat spots was in your ball screw. or your tables was out of wack etc etc.
NOTHING and I MEAN NOTHING Replaces a INSPECTION ROOM.