A coupl'a things:
ONE - Velocity - is that corrected muzzle velocity, instrument velocity at 78 feet or instrument velocity at some other range? What barrel was the velocity tested in? The mil-spec for M193 Ball is 3165 fps at 78 feet (+/- 40 fps, with a sigma of 40 fps), from a standard M16 barrel (20" with gas port). That should be around 3300 fps at the muzzle.
At over 2 grains extra powder I now know which is more powerful, both powders look to be the same.
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TWO - All ball powder looks pretty much the same, but the burn characteristics can be quite different. Further, between lots the burn characteristics of the same type of powder can be different. This is why each lot of powder has to have its own load worked up so the velocity is consistent. In fact the spec sheet from TM 43-0001-27 lists a charge weight with a allowable variation of 2 grains (as required to achieve the velocity requirement.
If you zero with the "556", then shot the "223" does the average point of impact change more than 2 inches? Does it move up or down?
Without clocking the velocity, you haven't learned much, other than the the two bullets may, or may not be the same shape (by the drawing, the ogive can be from 5.25 to 5.5, and there can be a 0.01 inch variation in the location of the cannelure).