Strictly identical? Maybe the samples they're using are not really from the moon in the first place! Hehehe...
Actually, now that I think about it, wouldn't the result of the collision cause most of Earths contribution to be on the surface of the moon? If it was otherwise, then Earth would have had an ring much like Saturn at one point which then collected into whole to become the moon. That couldn't be true since we would have easily seen evidence on the moon. This theory of mine would mean that almost any samples taken from the moon would would be originally from Earth.
I'm not sure what evidence we would expect to observe on the moon to indicate whether it accreted from a proto-ring or was captured intact - could you elaborate a little?