While steve 4102 is right about case capacity and weight, almost no one does it that way vs weighing cases for the simple reason that weighing is such a great deal easier.
We all weighed heavily prepped 6PPC cases to group into small batches, but they were all from the same maker/lot and that is much more reliable than weighing range brass from multiple makers/lots.
For .223 plinker loads that are, as rcmodel puts it, not on the bleeding edge of max, weighing cases will work just fine. And as I posted, if a case comes along on the LNL that has the powder much higher up in the case than usual, I pull it from the press and scrap it.
And to answer the OP's question again, in the case of GI 5.56/.223 cases, some are heavier, and some are lighter, than commercial brass, which of course also varies between makers.
GI .223 tends to be about the same, while GI .308 tends to be heavier, which is where the thought comes from when folks ask about..223 being heavier.